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1304987152 = 24761251761
BaseRepresentation
bin100110111001000…
…1000011000010000
310100221120012211111
41031302020120100
510133034042102
6333254223104
744224131160
oct11562103020
93327505744
101304987152
1160a6a4187
12305054a94
1317a492c61
14c545c5a0
1579877cd7
hex4dc88610

1304987152 has 80 divisors (see below), whose sum is σ = 2952561024. Its totient is φ = 547200000.

The previous prime is 1304987141. The next prime is 1304987209. The reversal of 1304987152 is 2517894031.

It is a super-2 number, since 2×13049871522 = 3405982933770142208, which contains 22 as substring.

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, 1714452 + ... + 1715212.

Almost surely, 21304987152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304987152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476280512).

1304987152 is an abundant number, since it is smaller than the sum of its proper divisors (1647573872).

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

1304987152 is a wasteful number, since it uses less digits than its factorization.

1304987152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1304987152 is about 36124.6059078850. The cubic root of 1304987152 is about 1092.7867283933.

The spelling of 1304987152 in words is "one billion, three hundred four million, nine hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 251 427 488 502 761 854 976 1004 1522 1708 1757 2008 3044 3416 3514 4016 5327 6088 6832 7028 10654 12176 14056 15311 21308 28112 30622 42616 46421 61244 85232 92842 107177 122488 185684 191011 214354 244976 324947 371368 382022 428708 649894 742736 764044 857416 1299788 1337077 1528088 1714832 2599576 2674154 3056176 5199152 5348308 10696616 11651671 21393232 23303342 46606684 81561697 93213368 163123394 186426736 326246788 652493576 1304987152