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74140668 = 223272391231
BaseRepresentation
bin1000110101101…
…00101111111100
312011111201212200
410122310233330
5122440000133
611205031500
71560120360
oct432645774
9164451780
1074140668
1138939a88
12209b5590
131248b424
149bbd2a0
156797913
hex46b4bfc

74140668 has 72 divisors (see below), whose sum is σ = 215255040. Its totient is φ = 21077280.

The previous prime is 74140613. The next prime is 74140673. The reversal of 74140668 is 86604147.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59613 + ... + 60843.

Almost surely, 274140668 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 74140668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107627520).

74140668 is an abundant number, since it is smaller than the sum of its proper divisors (141114372).

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

74140668 is a wasteful number, since it uses less digits than its factorization.

74140668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74140668 is about 8610.4975465997. The cubic root of 74140668 is about 420.0995002355.

The spelling of 74140668 in words is "seventy-four million, one hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 478 717 956 1231 1434 1673 2151 2462 2868 3346 3693 4302 4924 5019 6692 7386 8604 8617 10038 11079 14772 15057 17234 20076 22158 25851 30114 34468 44316 51702 60228 77553 103404 155106 294209 310212 588418 882627 1176836 1765254 2059463 2647881 3530508 4118926 5295762 6178389 8237852 10591524 12356778 18535167 24713556 37070334 74140668