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102552340 = 225112311367
BaseRepresentation
bin1100001110011…
…01001100010100
321010222012100211
412013031030110
5202223133330
614102015204
72353452262
oct607151424
9233865324
10102552340
1152985100
122a417504
1318328477
14d897432
15900ad2a
hex61cd314

102552340 has 72 divisors (see below), whose sum is σ = 244532736. Its totient is φ = 36062400.

The previous prime is 102552337. The next prime is 102552341. The reversal of 102552340 is 43255201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102552341) 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, 74337 + ... + 75703.

It is an arithmetic number, because the mean of its divisors is an integer number (3396288).

Almost surely, 2102552340 is an apocalyptic number.

102552340 is a gapful number since it is divisible by the number (10) 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 102552340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122266368).

102552340 is an abundant number, since it is smaller than the sum of its proper divisors (141980396).

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

102552340 is a wasteful number, since it uses less digits than its factorization.

102552340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 102552340 is about 10126.8129241139. The cubic root of 102552340 is about 468.0747256918.

The spelling of 102552340 in words is "one hundred two million, five hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1210 1364 1367 1705 2420 2734 3410 3751 5468 6820 6835 7502 13670 15004 15037 18755 27340 30074 37510 42377 60148 75020 75185 84754 150370 165407 169508 211885 300740 330814 423770 466147 661628 827035 847540 932294 1654070 1864588 2330735 3308140 4661470 5127617 9322940 10255234 20510468 25638085 51276170 102552340