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1381300992 = 2833337593
BaseRepresentation
bin101001001010100…
…1111101100000000
310120021011100202000
41102111033230000
510312103112432
6345022024000
746141602411
oct12225175400
93507140660
101381300992
11649787975
12326718000
13190232586
14d1645808
15813ee57c
hex5254fb00

1381300992 has 144 divisors (see below), whose sum is σ = 4103779680. Its totient is φ = 458293248.

The previous prime is 1381300981. The next prime is 1381301071. The reversal of 1381300992 is 2990031831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329048 + ... + 2329640.

It is an arithmetic number, because the mean of its divisors is an integer number (28498470).

Almost surely, 21381300992 is an apocalyptic number.

1381300992 is a gapful number since it is divisible by the number (12) 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 1381300992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051889840).

1381300992 is an abundant number, since it is smaller than the sum of its proper divisors (2722478688).

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

1381300992 is an equidigital number, since it uses as much as digits as its factorization.

1381300992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1381300992 is about 37165.8578805871. The cubic root of 1381300992 is about 1113.6860367533.

The spelling of 1381300992 in words is "one billion, three hundred eighty-one million, three hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 337 384 432 576 593 674 768 864 1011 1152 1186 1348 1728 1779 2022 2304 2372 2696 3033 3456 3558 4044 4744 5337 5392 6066 6912 7116 8088 9099 9488 10674 10784 12132 14232 16011 16176 18198 18976 21348 21568 24264 28464 32022 32352 36396 37952 42696 43136 48528 56928 64044 64704 72792 75904 85392 86272 97056 113856 128088 129408 145584 151808 170784 194112 199841 227712 256176 258816 291168 341568 388224 399682 455424 512352 582336 599523 683136 776448 799364 1024704 1164672 1199046 1366272 1598728 1798569 2049408 2329344 2398092 3197456 3597138 4098816 4796184 5395707 6394912 7194276 9592368 10791414 12789824 14388552 19184736 21582828 25579648 28777104 38369472 43165656 51159296 57554208 76738944 86331312 115108416 153477888 172662624 230216832 345325248 460433664 690650496 1381300992