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16312640 = 265192683
BaseRepresentation
bin111110001110…
…100101000000
31010200202201212
4332032211000
513134001030
61341345252
7255440501
oct76164500
933622655
1016312640
119231a23
125568228
1334c1c66
142248ba8
151673595
hexf8e940

16312640 has 56 divisors (see below), whose sum is σ = 40904160. Its totient is φ = 6179328.

The previous prime is 16312633. The next prime is 16312643. The reversal of 16312640 is 4621361.

It is a happy number.

It is a super-2 number, since 2×163126402 = 532204447539200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16312643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4739 + ... + 7421.

Almost surely, 216312640 is an apocalyptic number.

16312640 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 16312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20452080).

16312640 is an abundant number, since it is smaller than the sum of its proper divisors (24591520).

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

16312640 is a wasteful number, since it uses less digits than its factorization.

16312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 16312640 is about 4038.8909368786. The cubic root of 16312640 is about 253.6148916345.

The spelling of 16312640 in words is "sixteen million, three hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 2683 3040 5366 6080 10732 13415 21464 26830 42928 50977 53660 85856 101954 107320 171712 203908 214640 254885 407816 429280 509770 815632 858560 1019540 1631264 2039080 3262528 4078160 8156320 16312640