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102894012 = 223213435113
BaseRepresentation
bin1100010001000…
…00100110111100
321011121120001100
412020200212330
5202320102022
614113213100
72356404354
oct610404674
9234546040
10102894012
1153098881
122a561190
1318417b40
14d945b64
1590771ac
hex62209bc

102894012 has 72 divisors (see below), whose sum is σ = 286670384. Its totient is φ = 30917376.

The previous prime is 102893983. The next prime is 102894037. The reversal of 102894012 is 210498201.

It is a super-2 number, since 2×1028940122 = 21174355410912288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17568 + ... + 22680.

Almost surely, 2102894012 is an apocalyptic number.

102894012 is a gapful number since it is divisible by the number (12) 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 102894012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143335192).

102894012 is an abundant number, since it is smaller than the sum of its proper divisors (183776372).

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

102894012 is a wasteful number, since it uses less digits than its factorization.

102894012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102894012 is about 10143.6685671408. The cubic root of 102894012 is about 468.5939751658.

The spelling of 102894012 in words is "one hundred two million, eight hundred ninety-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 5031 5113 6708 10062 10226 15339 20124 20452 30678 46017 61356 66469 92034 132938 184068 199407 219859 265876 398814 439718 598221 659577 797628 879436 1196442 1319154 1978731 2392884 2638308 2858167 3957462 5716334 7914924 8574501 11432668 17149002 25723503 34298004 51447006 102894012