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1004315136 = 2931159441
BaseRepresentation
bin111011110111001…
…010001000000000
32120222210111100220
4323313022020000
54024101041021
6243353543040
733613352316
oct7367121000
92528714326
101004315136
11475a00910
12240414a80
131300bb316
14975520b6
155d284cc6
hex3bdca200

1004315136 has 80 divisors (see below), whose sum is σ = 2918839968. Its totient is φ = 304332800.

The previous prime is 1004315119. The next prime is 1004315141. The reversal of 1004315136 is 6315134001.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 12825 + ... + 46616.

Almost surely, 21004315136 is an apocalyptic number.

1004315136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004315136 is an abundant number, since it is smaller than the sum of its proper divisors (1914524832).

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

1004315136 is an equidigital number, since it uses as much as digits as its factorization.

1004315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59473 (or 59457 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1004315136 is about 31690.9314473399. The cubic root of 1004315136 is about 1001.4363146791.

Adding to 1004315136 its reverse (6315134001), we get a palindrome (7319449137).

The spelling of 1004315136 in words is "one billion, four million, three hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 59441 118882 178323 237764 356646 475528 653851 713292 951056 1307702 1426584 1902112 1961553 2615404 2853168 3804224 3923106 5230808 5706336 7608448 7846212 10461616 11412672 15216896 15692424 20923232 22825344 30433792 31384848 41846464 45650688 62769696 83692928 91301376 125539392 167385856 251078784 334771712 502157568 1004315136