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10514704 = 2417293143
BaseRepresentation
bin101000000111…
…000100010000
3201210012110111
4220013010100
510142432304
61013211104
7155242054
oct50070420
921705414
1010514704
115a31942
123630a94
132241c25
141579c64
15dca704
hexa07110

10514704 has 80 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 4515840.

The previous prime is 10514681. The next prime is 10514717. The reversal of 10514704 is 40741501.

10514704 = T257 + T258 + ... + T430.

It is a super-2 number, since 2×105147042 = 221118000415232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244507 + ... + 244549.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 210514704 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 10514704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

10514704 is an abundant number, since it is smaller than the sum of its proper divisors (13055216).

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

10514704 is a wasteful number, since it uses less digits than its factorization.

10514704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 10514704 is about 3242.6384318946. The cubic root of 10514704 is about 219.0781259038.

The spelling of 10514704 in words is "ten million, five hundred fourteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 29 31 34 43 58 62 68 86 116 124 136 172 232 248 272 344 464 493 496 527 688 731 899 986 1054 1247 1333 1462 1798 1972 2108 2494 2666 2924 3596 3944 4216 4988 5332 5848 7192 7888 8432 9976 10664 11696 14384 15283 19952 21199 21328 22661 30566 38657 42398 45322 61132 77314 84796 90644 122264 154628 169592 181288 244528 309256 339184 362576 618512 657169 1314338 2628676 5257352 10514704