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74299680 = 253657213
BaseRepresentation
bin1000110110110…
…11100100100000
312011210211000000
410123123210200
5123010042210
611212300000
71561352100
oct433334440
9164724000
1074299680
1138a384a4
1220a71600
1312515910
149c21200
1567c9ac0
hex46db920

74299680 has 504 divisors, whose sum is σ = 329696892. Its totient is φ = 15676416.

The previous prime is 74299661. The next prime is 74299681. The reversal of 74299680 is 8699247.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 5143824 = 8316^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74299681) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5715354 + ... + 5715366.

Almost surely, 274299680 is an apocalyptic number.

74299680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164848446).

74299680 is an abundant number, since it is smaller than the sum of its proper divisors (255397212).

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

74299680 is a wasteful number, since it uses less digits than its factorization.

74299680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 74299680 is about 8619.7262137495. The cubic root of 74299680 is about 420.3996196512.

The spelling of 74299680 in words is "seventy-four million, two hundred ninety-nine thousand, six hundred eighty".