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74669040 = 2435523167
BaseRepresentation
bin1000111001101…
…01101111110000
312012111120200000
410130311233300
5123103402130
611224230000
71564450665
oct434655760
9165446600
1074669040
113916aa56
122100b300
1312614a84
149cb9a6c
15684e260
hex4735bf0

74669040 has 240 divisors, whose sum is σ = 272982528. Its totient is φ = 18931968.

The previous prime is 74669029. The next prime is 74669053. The reversal of 74669040 is 4096647.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 74668986 and 74669004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447037 + ... + 447203.

Almost surely, 274669040 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 74669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

74669040 is an abundant number, since it is smaller than the sum of its proper divisors (198313488).

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

74669040 is a wasteful number, since it uses less digits than its factorization.

74669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 74669040 is about 8641.1249267673. The cubic root of 74669040 is about 421.0951013521.

The spelling of 74669040 in words is "seventy-four million, six hundred sixty-nine thousand, forty".