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202680040 = 23522512
BaseRepresentation
bin11000001010010…
…10011011101000
3112010101012202011
430011022123220
5403341230130
632040045304
75010515623
oct1405123350
9463335664
10202680040
11a4453572
1257a63834
1332cb5124
141ccbcdba
1512bd852a
hexc14a6e8

202680040 has 24 divisors (see below), whose sum is σ = 456232770. Its totient is φ = 81036000.

The previous prime is 202680029. The next prime is 202680041. The reversal of 202680040 is 40086202.

It can be written as a sum of positive squares in only one way, i.e., 182412036 + 20268004 = 13506^2 + 4502^2 .

It is a super-2 number, since 2×2026800402 = 82158397228803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202679993 and 202680020.

It is not an unprimeable number, because it can be changed into a prime (202680041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88915 + ... + 91165.

Almost surely, 2202680040 is an apocalyptic number.

202680040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202680040 is an abundant number, since it is smaller than the sum of its proper divisors (253552730).

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

202680040 is an frugal number, since it uses more digits than its factorization.

202680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 202680040 is about 14236.5740260780. The cubic root of 202680040 is about 587.4041274068.

The spelling of 202680040 in words is "two hundred two million, six hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2251 4502 9004 11255 18008 22510 45020 90040 5067001 10134002 20268004 25335005 40536008 50670010 101340020 202680040