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213462840 = 23351778857
BaseRepresentation
bin11001011100100…
…10111100111000
3112212200000222010
430232102330320
5414121302330
633103125520
75201255433
oct1456227470
9485600863
10213462840
11aa548878
125b5a38a0
13352bc096
14204c881a
1513b183b0
hexcb92f38

213462840 has 32 divisors (see below), whose sum is σ = 640388880. Its totient is φ = 56923392.

The previous prime is 213462817. The next prime is 213462841. The reversal of 213462840 is 48264312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213462798 and 213462807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213462841) 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, 889309 + ... + 889548.

Almost surely, 2213462840 is an apocalyptic number.

213462840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213462840 is an abundant number, since it is smaller than the sum of its proper divisors (426926040).

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

213462840 is a wasteful number, since it uses less digits than its factorization.

213462840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778871 (or 1778867 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 213462840 is about 14610.3675518448. The cubic root of 213462840 is about 597.6415192055.

The spelling of 213462840 in words is "two hundred thirteen million, four hundred sixty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1778857 3557714 5336571 7115428 8894285 10673142 14230856 17788570 21346284 26682855 35577140 42692568 53365710 71154280 106731420 213462840