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67900640 = 255835113
BaseRepresentation
bin1000000110000…
…01010011100000
311201202201011112
410003001103200
5114340310030
610423202452
71453101023
oct403012340
9151681145
1067900640
1135367835
121a8a6428
13110b50c2
1490371ba
155e63a95
hex40c14e0

67900640 has 48 divisors (see below), whose sum is σ = 162379728. Its totient is φ = 26827776.

The previous prime is 67900631. The next prime is 67900667. The reversal of 67900640 is 4600976.

It is a super-2 number, since 2×679006402 = 9220993824819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 67900597 and 67900606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10724 + ... + 15836.

It is an arithmetic number, because the mean of its divisors is an integer number (3382911).

Almost surely, 267900640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81189864).

67900640 is an abundant number, since it is smaller than the sum of its proper divisors (94479088).

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

67900640 is a wasteful number, since it uses less digits than its factorization.

67900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 67900640 is about 8240.1844639547. The cubic root of 67900640 is about 407.9666126723.

The spelling of 67900640 in words is "sixty-seven million, nine hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 5113 6640 10226 13280 20452 25565 40904 51130 81808 102260 163616 204520 409040 424379 818080 848758 1697516 2121895 3395032 4243790 6790064 8487580 13580128 16975160 33950320 67900640