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16012368 = 24321731211
BaseRepresentation
bin111101000101…
…010001010000
31010010111211200
4331011101100
513044343433
61331111200
7253050201
oct75052120
933114750
1016012368
119047369
125442500
133418398
1421ab5a8
151614613
hexf45450

16012368 has 120 divisors (see below), whose sum is σ = 49211136. Its totient is φ = 4838400.

The previous prime is 16012363. The next prime is 16012369. The reversal of 16012368 is 86321061.

It is a cake number, because a cake can be divided into 16012368 parts by 458 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16012363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75783 + ... + 75993.

Almost surely, 216012368 is an apocalyptic number.

16012368 is a gapful number since it is divisible by the number (18) 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 16012368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605568).

16012368 is an abundant number, since it is smaller than the sum of its proper divisors (33198768).

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

16012368 is a wasteful number, since it uses less digits than its factorization.

16012368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16012368 is about 4001.5457013509. The cubic root of 16012368 is about 252.0491211878.

It can be divided in two parts, 1601 and 2368, that added together give a square (3969 = 632).

The spelling of 16012368 in words is "sixteen million, twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 211 248 272 279 306 372 408 422 496 527 558 612 633 744 816 844 1054 1116 1224 1266 1488 1581 1688 1899 2108 2232 2448 2532 3162 3376 3587 3798 4216 4464 4743 5064 6324 6541 7174 7596 8432 9486 10128 10761 12648 13082 14348 15192 18972 19623 21522 25296 26164 28696 30384 32283 37944 39246 43044 52328 57392 58869 64566 75888 78492 86088 104656 111197 117738 129132 156984 172176 222394 235476 258264 313968 333591 444788 470952 516528 667182 889576 941904 1000773 1334364 1779152 2001546 2668728 4003092 5337456 8006184 16012368