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102943764 = 223371112379
BaseRepresentation
bin1100010001011…
…00110000010100
321011201002022000
412020230300110
5202323200024
614114235300
72360002410
oct610546024
9234632260
10102943764
11531221a0
122a585b30
1318434691
14d959d40
159086cc9
hex622cc14

102943764 has 96 divisors (see below), whose sum is σ = 332774400. Its totient is φ = 26736480.

The previous prime is 102943751. The next prime is 102943769. The reversal of 102943764 is 467349201.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102943769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127 + ... + 14505.

It is an arithmetic number, because the mean of its divisors is an integer number (3466400).

Almost surely, 2102943764 is an apocalyptic number.

102943764 is a gapful number since it is divisible by the number (14) 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 102943764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166387200).

102943764 is an abundant number, since it is smaller than the sum of its proper divisors (229830636).

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

102943764 is a wasteful number, since it uses less digits than its factorization.

102943764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12410 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 102943764 is about 10146.1206379581. The cubic root of 102943764 is about 468.6694888924.

The spelling of 102943764 in words is "one hundred two million, nine hundred forty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 12379 24758 37137 49516 74274 86653 111411 136169 148548 173306 222822 259959 272338 334233 346612 408507 445644 519918 544676 668466 779877 817014 953183 1039836 1225521 1336932 1559754 1634028 1906366 2339631 2451042 2859549 3119508 3676563 3812732 4679262 4902084 5719098 7353126 8578647 9358524 11438196 14706252 17157294 25735941 34314588 51471882 102943764