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1373217280 = 2952953349
BaseRepresentation
bin101000111011001…
…1010001000000000
310112200221122222021
41101312122020000
510303020423110
6344132451224
746013103631
oct12166321000
93480848867
101373217280
11645166516
12323a79b14
1318b662006
14d053d888
15808542da
hex51d9a200

1373217280 has 160 divisors (see below), whose sum is σ = 3480246000. Its totient is φ = 518848512.

The previous prime is 1373217269. The next prime is 1373217301. The reversal of 1373217280 is 827123731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 925133056 + 448084224 = 30416^2 + 21168^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×13732172803 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934546 + ... + 3934894.

Almost surely, 21373217280 is an apocalyptic number.

1373217280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1373217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740123000).

1373217280 is an abundant number, since it is smaller than the sum of its proper divisors (2107028720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1373217280 is an equidigital number, since it uses as much as digits as its factorization.

1373217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 1373217280 is about 37056.9464473262. The cubic root of 1373217280 is about 1111.5092636508.

The spelling of 1373217280 in words is "one billion, three hundred seventy-three million, two hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 53 58 64 80 106 116 128 145 160 212 232 256 265 290 320 349 424 464 512 530 580 640 698 848 928 1060 1160 1280 1396 1537 1696 1745 1856 2120 2320 2560 2792 3074 3392 3490 3712 4240 4640 5584 6148 6784 6980 7424 7685 8480 9280 10121 11168 12296 13568 13960 14848 15370 16960 18497 18560 20242 22336 24592 27136 27920 30740 33920 36994 37120 40484 44672 49184 50605 55840 61480 67840 73988 74240 80968 89344 92485 98368 101210 111680 122960 135680 147976 161936 178688 184970 196736 202420 223360 245920 295952 323872 369940 393472 404840 446720 491840 536413 591904 647744 739880 786944 809680 893440 983680 1072826 1183808 1295488 1479760 1619360 1967360 2145652 2367616 2590976 2682065 2959520 3238720 3934720 4291304 4735232 5181952 5364130 5919040 6477440 8582608 9470464 10728260 11838080 12954880 17165216 21456520 23676160 25909760 34330432 42913040 47352320 68660864 85826080 137321728 171652160 274643456 343304320 686608640 1373217280