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12374016 = 21231953
BaseRepresentation
bin101111001101…
…000000000000
3212021122221220
4233031000000
511131432031
61121115040
7210114564
oct57150000
925248856
1012374016
116a91866
124188a80
132743305
1419016a4
151146596
hexbcd000

12374016 has 104 divisors (see below), whose sum is σ = 35385120. Its totient is φ = 3833856.

The previous prime is 12374009. The next prime is 12374027. The reversal of 12374016 is 61047321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233446 + ... + 233498.

Almost surely, 212374016 is an apocalyptic number.

12374016 is a gapful number since it is divisible by the number (16) 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 12374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692560).

12374016 is an abundant number, since it is smaller than the sum of its proper divisors (23011104).

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

12374016 is an equidigital number, since it uses as much as digits as its factorization.

12374016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12374016 is about 3517.6719574173. The cubic root of 12374016 is about 231.2971195923.

It can be divided in two parts, 1237 and 4016, that added together give a triangular number (5253 = T102).

The spelling of 12374016 in words is "twelve million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 318 384 424 456 512 608 636 768 848 912 1007 1024 1216 1272 1536 1696 1824 2014 2048 2432 2544 3021 3072 3392 3648 4028 4096 4864 5088 6042 6144 6784 7296 8056 9728 10176 12084 12288 13568 14592 16112 19456 20352 24168 27136 29184 32224 38912 40704 48336 54272 58368 64448 77824 81408 96672 108544 116736 128896 162816 193344 217088 233472 257792 325632 386688 515584 651264 773376 1031168 1546752 2062336 3093504 4124672 6187008 12374016