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14121864 = 2334193137
BaseRepresentation
bin110101110111…
…101110001000
3222120110120000
4311313232020
512103344424
61222403000
7231014421
oct65675610
928513500
1014121864
117a75a69
124890460
132c05a43
141c38648
15138e3c9
hexd77b88

14121864 has 160 divisors (see below), whose sum is σ = 44140800. Its totient is φ = 4199040.

The previous prime is 14121853. The next prime is 14121881. The reversal of 14121864 is 46812141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381654 + ... + 381690.

It is an arithmetic number, because the mean of its divisors is an integer number (275880).

Almost surely, 214121864 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 14121864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22070400).

14121864 is an abundant number, since it is smaller than the sum of its proper divisors (30018936).

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

14121864 is a wasteful number, since it uses less digits than its factorization.

14121864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14121864 is about 3757.9068641998. The cubic root of 14121864 is about 241.7115156293.

The spelling of 14121864 in words is "fourteen million, one hundred twenty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 37 38 54 57 62 72 74 76 81 93 108 111 114 124 148 152 162 171 186 216 222 228 248 279 296 324 333 342 372 444 456 513 558 589 648 666 684 703 744 837 888 999 1026 1116 1147 1178 1332 1368 1406 1539 1674 1767 1998 2052 2109 2232 2294 2356 2511 2664 2812 2997 3078 3348 3441 3534 3996 4104 4218 4588 4712 5022 5301 5624 5994 6156 6327 6696 6882 7068 7992 8436 9176 10044 10323 10602 11988 12312 12654 13764 14136 15903 16872 18981 20088 20646 21204 21793 23976 25308 27528 30969 31806 37962 41292 42408 43586 47709 50616 56943 61938 63612 65379 75924 82584 87172 92907 95418 113886 123876 127224 130758 151848 174344 185814 190836 196137 227772 247752 261516 371628 381672 392274 455544 523032 588411 743256 784548 1176822 1569096 1765233 2353644 3530466 4707288 7060932 14121864