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68407040 = 285134111
BaseRepresentation
bin1000001001111…
…00111100000000
311202201102211002
410010330330000
5120003011130
610442111132
71460310302
oct404747400
9152642732
1068407040
1135683249
121aaab4a8
1311231750
149129972
156013b45
hex413cf00

68407040 has 72 divisors (see below), whose sum is σ = 176503488. Its totient is φ = 25251840.

The previous prime is 68407033. The next prime is 68407057. The reversal of 68407040 is 4070486.

It is a junction number, because it is equal to n+sod(n) for n = 68406994 and 68407012.

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, 14585 + ... + 18695.

Almost surely, 268407040 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 68407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88251744).

68407040 is an abundant number, since it is smaller than the sum of its proper divisors (108096448).

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

68407040 is a wasteful number, since it uses less digits than its factorization.

68407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 68407040 is about 8270.8548530367. The cubic root of 68407040 is about 408.9783008277.

The spelling of 68407040 in words is "sixty-eight million, four hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4111 4160 8222 8320 16444 16640 20555 32888 41110 53443 65776 82220 106886 131552 164440 213772 263104 267215 328880 427544 526208 534430 657760 855088 1052416 1068860 1315520 1710176 2137720 2631040 3420352 4275440 5262080 6840704 8550880 13681408 17101760 34203520 68407040