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77380240 = 2457138179
BaseRepresentation
bin1001001110010…
…11101010010000
312101121022201211
410213023222100
5124302131430
611402305504
71626502240
oct447135220
9171538654
1077380240
113a751a13
1221ab8294
1313053b32
14a3c3b20
156bd772a
hex49cba90

77380240 has 40 divisors (see below), whose sum is σ = 205611840. Its totient is φ = 26530176.

The previous prime is 77380231. The next prime is 77380267. The reversal of 77380240 is 4208377.

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

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, 68530 + ... + 69649.

It is an arithmetic number, because the mean of its divisors is an integer number (5140296).

Almost surely, 277380240 is an apocalyptic number.

77380240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77380240 is an abundant number, since it is smaller than the sum of its proper divisors (128231600).

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

77380240 is a wasteful number, since it uses less digits than its factorization.

77380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138199 (or 138193 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 77380240 is about 8796.6038901385. The cubic root of 77380240 is about 426.1312239468.

The spelling of 77380240 in words is "seventy-seven million, three hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 138179 276358 552716 690895 967253 1105432 1381790 1934506 2210864 2763580 3869012 4836265 5527160 7738024 9672530 11054320 15476048 19345060 38690120 77380240