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102710220 = 223511315149
BaseRepresentation
bin1100001111100…
…11101111001100
321011021012221020
412013303233030
5202243211340
614105234140
72355010464
oct607635714
9234235836
10102710220
1152a82788
122a492950
13183822a2
14d8d8ba4
15903c9d0
hex61f3bcc

102710220 has 48 divisors (see below), whose sum is σ = 290152800. Its totient is φ = 27145216.

The previous prime is 102710189. The next prime is 102710221. The reversal of 102710220 is 22017201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102710220.

It is not an unprimeable number, because it can be changed into a prime (102710221) 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, 795 + ... + 14354.

It is an arithmetic number, because the mean of its divisors is an integer number (6044850).

Almost surely, 2102710220 is an apocalyptic number.

102710220 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 102710220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145076400).

102710220 is an abundant number, since it is smaller than the sum of its proper divisors (187442580).

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

102710220 is a wasteful number, since it uses less digits than its factorization.

102710220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274 (or 15272 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 102710220 is about 10134.6050737066. The cubic root of 102710220 is about 468.3148039032.

Adding to 102710220 its reverse (22017201), we get a palindrome (124727421).

The spelling of 102710220 in words is "one hundred two million, seven hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 15149 30298 45447 60596 75745 90894 151490 181788 227235 302980 454470 908940 1711837 3423674 5135511 6847348 8559185 10271022 17118370 20542044 25677555 34236740 51355110 102710220