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16379136 = 28327109
BaseRepresentation
bin111110011110…
…110100000000
31010211010221200
4332132310000
513143113021
61343021200
7256135404
oct76366400
933733850
1016379136
119277984
12559a800
1335162c7
142265104
151688126
hexf9ed00

16379136 has 54 divisors (see below), whose sum is σ = 47231730. Its totient is φ = 5458944.

The previous prime is 16379119. The next prime is 16379179. The reversal of 16379136 is 63197361.

16379136 is a `hidden beast` number, since 1 + 637 + 9 + 13 + 6 = 666.

16379136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 5089536 = 3360^2 + 2256^2 .

It is a super-2 number, since 2×163791362 = 536552192212992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16379136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1251 + ... + 5858.

Almost surely, 216379136 is an apocalyptic number.

16379136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16379136 is an abundant number, since it is smaller than the sum of its proper divisors (30852594).

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

16379136 is an equidigital number, since it uses as much as digits as its factorization.

16379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7114 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 16379136 is about 4047.1145276604. The cubic root of 16379136 is about 253.9590319773.

The spelling of 16379136 in words is "sixteen million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7109 14218 21327 28436 42654 56872 63981 85308 113744 127962 170616 227488 255924 341232 454976 511848 682464 909952 1023696 1364928 1819904 2047392 2729856 4094784 5459712 8189568 16379136