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1073430120 = 233576831871
BaseRepresentation
bin111111111110110…
…011111001101000
32202210211220022010
4333332303321220
54144244230440
6254303155520
735413001610
oct7776637150
92683756263
101073430120
11500a17a34
1225b5a5ba0
1314150a069
14a27c3a40
1564388580
hex3ffb3e68

1073430120 has 128 divisors (see below), whose sum is σ = 3687690240. Its totient is φ = 244865280.

The previous prime is 1073430107. The next prime is 1073430139. The reversal of 1073430120 is 210343701.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572785 + ... + 574655.

It is an arithmetic number, because the mean of its divisors is an integer number (28810080).

Almost surely, 21073430120 is an apocalyptic number.

1073430120 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 1073430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843845120).

1073430120 is an abundant number, since it is smaller than the sum of its proper divisors (2614260120).

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

1073430120 is a wasteful number, since it uses less digits than its factorization.

1073430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1073430120 is about 32763.2434291845. The cubic root of 1073430120 is about 1023.9009023771.

Adding to 1073430120 its reverse (210343701), we get a palindrome (1283773821).

The spelling of 1073430120 in words is "one billion, seventy-three million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 683 840 1366 1871 2049 2732 3415 3742 4098 4781 5464 5613 6830 7484 8196 9355 9562 10245 11226 13097 13660 14343 14968 16392 18710 19124 20490 22452 23905 26194 27320 28065 28686 37420 38248 39291 40980 44904 47810 52388 56130 57372 65485 71715 74840 78582 81960 95620 104776 112260 114744 130970 143430 157164 191240 196455 224520 261940 286860 314328 392910 523880 573720 785820 1277893 1571640 2555786 3833679 5111572 6389465 7667358 8945251 10223144 12778930 15334716 17890502 19168395 25557860 26835753 30669432 35781004 38336790 44726255 51115720 53671506 71562008 76673580 89452510 107343012 134178765 153347160 178905020 214686024 268357530 357810040 536715060 1073430120