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74054136 = 23313713343
BaseRepresentation
bin1000110100111…
…11100111111000
312011100100011210
410122133213320
5122424213021
611203123120
71556310162
oct432374770
9164310153
1074054136
113888aa72
12209734a0
131245ac20
149b99932
15677be76
hex469f9f8

74054136 has 64 divisors (see below), whose sum is σ = 202245120. Its totient is φ = 22458240.

The previous prime is 74054129. The next prime is 74054137. The reversal of 74054136 is 63145047.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74054137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20481 + ... + 23823.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 274054136 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 74054136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101122560).

74054136 is an abundant number, since it is smaller than the sum of its proper divisors (128190984).

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

74054136 is a wasteful number, since it uses less digits than its factorization.

74054136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 74054136 is about 8605.4712828526. The cubic root of 74054136 is about 419.9359993182.

The spelling of 74054136 in words is "seventy-four million, fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 852 923 1704 1846 2769 3343 3692 5538 6686 7384 10029 11076 13372 20058 22152 26744 40116 43459 80232 86918 130377 173836 237353 260754 347672 474706 521508 712059 949412 1043016 1424118 1898824 2848236 3085589 5696472 6171178 9256767 12342356 18513534 24684712 37027068 74054136