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102416920 = 2355943397
BaseRepresentation
bin1100001101011…
…00001000011000
321010201022121021
412012230020120
5202204320140
614055052224
72352346414
oct606541030
9233638537
10102416920
11528a2391
122a371074
13182ab938
14d85dd44
158ed0b4a
hex61ac218

102416920 has 32 divisors (see below), whose sum is σ = 234349200. Its totient is φ = 40271488.

The previous prime is 102416903. The next prime is 102416921. The reversal of 102416920 is 29614201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102416921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19339 + ... + 24058.

Almost surely, 2102416920 is an apocalyptic number.

102416920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102416920 is an abundant number, since it is smaller than the sum of its proper divisors (131932280).

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

102416920 is a wasteful number, since it uses less digits than its factorization.

102416920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43467 (or 43463 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 102416920 is about 10120.1245051630. The cubic root of 102416920 is about 467.8686046013.

It can be divided in two parts, 10241 and 6920, that added together give a square (17161 = 1312).

The spelling of 102416920 in words is "one hundred two million, four hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 43397 86794 173588 216985 347176 433970 867940 1735880 2560423 5120846 10241692 12802115 20483384 25604230 51208460 102416920