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20157100 = 2252191032
BaseRepresentation
bin100110011100…
…1001010101100
31101221002100021
41030321022230
520130011400
62000011524
7333222025
oct114711254
941832307
1020157100
1110418367
126900ba4
134239aa2
142969c4c
151b8271a
hex13392ac

20157100 has 54 divisors (see below), whose sum is σ = 46494420. Its totient is φ = 7564320.

The previous prime is 20157097. The next prime is 20157107. The reversal of 20157100 is 175102.

It is not an unprimeable number, because it can be changed into a prime (20157107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 195649 + ... + 195751.

Almost surely, 220157100 is an apocalyptic number.

20157100 is a gapful number since it is divisible by the number (20) 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 20157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23247210).

20157100 is an abundant number, since it is smaller than the sum of its proper divisors (26337320).

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

20157100 is a wasteful number, since it uses less digits than its factorization.

20157100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 20157100 is about 4489.6659118469. The cubic root of 20157100 is about 272.1506338357.

The spelling of 20157100 in words is "twenty million, one hundred fifty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 103 190 206 380 412 475 515 950 1030 1900 1957 2060 2575 3914 5150 7828 9785 10300 10609 19570 21218 39140 42436 48925 53045 97850 106090 195700 201571 212180 265225 403142 530450 806284 1007855 1060900 2015710 4031420 5039275 10078550 20157100