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74680704 = 273574
BaseRepresentation
bin1000111001110…
…00100110000000
312012112011200000
410130320212000
5123104240304
611224400000
71564530000
oct434704600
9165464600
1074680704
113917879a
1221016000
131261a187
149cc0000
156852939
hex4738980

74680704 has 240 divisors, whose sum is σ = 259988820. Its totient is φ = 21337344.

The previous prime is 74680703. The next prime is 74680709. The reversal of 74680704 is 40708647.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74680703) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10668669 + ... + 10668675.

Almost surely, 274680704 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 74680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129994410).

74680704 is an abundant number, since it is smaller than the sum of its proper divisors (185308116).

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

74680704 is an frugal number, since it uses more digits than its factorization.

74680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 74680704 is about 8641.7998125391. The cubic root of 74680704 is about 421.1170265370.

Multiplying 74680704 by its product of nonzero digits (37632), we get a cube (2810384252928 = 141123).

The spelling of 74680704 in words is "seventy-four million, six hundred eighty thousand, seven hundred four".