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102153540 = 22352118069
BaseRepresentation
bin1100001011010…
…11110101000100
321010012221022110
412011223311010
5202122403130
614045301020
72350201506
oct605536504
9233187273
10102153540
1152732515
122a264770
1318218aa8
14d7d1d76
158e7cab0
hex616bd44

102153540 has 48 divisors (see below), whose sum is σ = 287421120. Its totient is φ = 27108480.

The previous prime is 102153539. The next prime is 102153553. The reversal of 102153540 is 45351201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8626 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (5987940).

Almost surely, 2102153540 is an apocalyptic number.

102153540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102153540 is an abundant number, since it is smaller than the sum of its proper divisors (185267580).

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

102153540 is a wasteful number, since it uses less digits than its factorization.

102153540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 102153540 is about 10107.1034426289. The cubic root of 102153540 is about 467.4671962646.

The spelling of 102153540 in words is "one hundred two million, one hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 211 422 633 844 1055 1266 2110 2532 3165 4220 6330 8069 12660 16138 24207 32276 40345 48414 80690 96828 121035 161380 242070 484140 1702559 3405118 5107677 6810236 8512795 10215354 17025590 20430708 25538385 34051180 51076770 102153540