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102252060 = 223255631009
BaseRepresentation
bin1100001100000…
…11111000011100
321010101221110100
412012003320130
5202134031220
614051341100
72351061651
oct606037034
9233357410
10102252060
115279a539
122a2b1790
13182518a1
14d819c28
158e9bd90
hex6183e1c

102252060 has 72 divisors (see below), whose sum is σ = 311023440. Its totient is φ = 27191808.

The previous prime is 102252047. The next prime is 102252067. The reversal of 102252060 is 60252201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102252067) 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, 100836 + ... + 101844.

It is an arithmetic number, because the mean of its divisors is an integer number (4319770).

Almost surely, 2102252060 is an apocalyptic number.

102252060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102252060 is an abundant number, since it is smaller than the sum of its proper divisors (208771380).

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

102252060 is a wasteful number, since it uses less digits than its factorization.

102252060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102252060 is about 10111.9760680097. The cubic root of 102252060 is about 467.6174278687.

The spelling of 102252060 in words is "one hundred two million, two hundred fifty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 563 1009 1126 1689 2018 2252 2815 3027 3378 4036 5045 5067 5630 6054 6756 8445 9081 10090 10134 11260 12108 15135 16890 18162 20180 20268 25335 30270 33780 36324 45405 50670 60540 90810 101340 181620 568067 1136134 1704201 2272268 2840335 3408402 5112603 5680670 6816804 8521005 10225206 11361340 17042010 20450412 25563015 34084020 51126030 102252060