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20315120 = 245736277
BaseRepresentation
bin100110101111…
…1101111110000
31102020010002212
41031133233300
520200040440
62003231252
7334450520
oct115375760
942203085
1020315120
1110516061
126978528
1342939a7
1429ab680
151bb4465
hex135fbf0

20315120 has 40 divisors (see below), whose sum is σ = 53981664. Its totient is φ = 6964992.

The previous prime is 20315117. The next prime is 20315129. The reversal of 20315120 is 2151302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×203151202 = 825408201228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20315095 and 20315104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20315129) 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, 17579 + ... + 18698.

Almost surely, 220315120 is an apocalyptic number.

20315120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20315120 is an abundant number, since it is smaller than the sum of its proper divisors (33666544).

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

20315120 is a wasteful number, since it uses less digits than its factorization.

20315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36297 (or 36291 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 20315120 is about 4507.2297478607. The cubic root of 20315120 is about 272.8599513352.

Adding to 20315120 its reverse (2151302), we get a palindrome (22466422).

The spelling of 20315120 in words is "twenty million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 36277 72554 145108 181385 253939 290216 362770 507878 580432 725540 1015756 1269695 1451080 2031512 2539390 2902160 4063024 5078780 10157560 20315120