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102607660 = 22537313443
BaseRepresentation
bin1100001110110…
…10101100101100
321011002000020201
412013122230230
5202231421120
614103123244
72354102461
oct607325454
9234060221
10102607660
1152a12721
122a443524
13183476bc
14d8ad668
15901c40a
hex61dab2c

102607660 has 48 divisors (see below), whose sum is σ = 222507936. Its totient is φ = 39716352.

The previous prime is 102607601. The next prime is 102607663. The reversal of 102607660 is 66706201.

It is not an unprimeable number, because it can be changed into a prime (102607663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231399 + ... + 231841.

It is an arithmetic number, because the mean of its divisors is an integer number (4635582).

Almost surely, 2102607660 is an apocalyptic number.

102607660 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 102607660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111253968).

102607660 is an abundant number, since it is smaller than the sum of its proper divisors (119900276).

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

102607660 is a wasteful number, since it uses less digits than its factorization.

102607660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 102607660 is about 10129.5439186570. The cubic root of 102607660 is about 468.1588753700.

The spelling of 102607660 in words is "one hundred two million, six hundred seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 313 370 443 626 740 886 1252 1565 1772 2215 3130 4430 6260 8860 11581 16391 23162 32782 46324 57905 65564 81955 115810 138659 163910 231620 277318 327820 554636 693295 1386590 2773180 5130383 10260766 20521532 25651915 51303830 102607660