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102874212 = 2234767677
BaseRepresentation
bin1100010000110…
…11110001100100
321011120112220000
412020123301210
5202313433322
614112541300
72356262550
oct610336144
9234515800
10102874212
1153084a11
122a551830
131840bb1c
14d93c860
1590713ac
hex621bc64

102874212 has 120 divisors (see below), whose sum is σ = 312400704. Its totient is φ = 28911168.

The previous prime is 102874159. The next prime is 102874217. The reversal of 102874212 is 212478201.

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

It is not an unprimeable number, because it can be changed into a prime (102874217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151618 + ... + 152294.

Almost surely, 2102874212 is an apocalyptic number.

102874212 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 102874212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156200352).

102874212 is an abundant number, since it is smaller than the sum of its proper divisors (209526492).

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

102874212 is a wasteful number, since it uses less digits than its factorization.

102874212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 102874212 is about 10142.6925419240. The cubic root of 102874212 is about 468.5639158982.

The spelling of 102874212 in words is "one hundred two million, eight hundred seventy-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 67 81 84 108 126 134 162 189 201 252 268 324 378 402 469 567 603 677 756 804 938 1134 1206 1354 1407 1809 1876 2031 2268 2412 2708 2814 3618 4062 4221 4739 5427 5628 6093 7236 8124 8442 9478 10854 12186 12663 14217 16884 18279 18956 21708 24372 25326 28434 36558 37989 42651 45359 50652 54837 56868 73116 75978 85302 90718 109674 127953 136077 151956 170604 181436 219348 255906 272154 317513 383859 408231 511812 544308 635026 767718 816462 952539 1224693 1270052 1535436 1632924 1905078 2449386 2857617 3674079 3810156 4898772 5715234 7348158 8572851 11430468 14696316 17145702 25718553 34291404 51437106 102874212