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74506680 = 23325673089
BaseRepresentation
bin1000111000011…
…10000110111000
312012012022221200
410130032012320
5123033203210
611220534200
71563203433
oct434160670
9165168850
1074506680
1139069a76
1220b51360
1312588bc1
149c7681a
15681b0c0
hex470e1b8

74506680 has 96 divisors (see below), whose sum is σ = 245840400. Its totient is φ = 19565568.

The previous prime is 74506673. The next prime is 74506687. The reversal of 74506680 is 8660547.

It is a happy number.

74506680 is a `hidden beast` number, since 74 + 506 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (74506673) and next prime (74506687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74506687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22576 + ... + 25664.

Almost surely, 274506680 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 74506680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122920200).

74506680 is an abundant number, since it is smaller than the sum of its proper divisors (171333720).

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

74506680 is a wasteful number, since it uses less digits than its factorization.

74506680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 74506680 is about 8631.7252041524. The cubic root of 74506680 is about 420.7896708178.

The spelling of 74506680 in words is "seventy-four million, five hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 3089 4020 4824 6030 6178 8040 9267 12060 12356 15445 18534 24120 24712 27801 30890 37068 46335 55602 61780 74136 92670 111204 123560 139005 185340 206963 222408 278010 370680 413926 556020 620889 827852 1034815 1112040 1241778 1655704 1862667 2069630 2483556 3104445 3725334 4139260 4967112 6208890 7450668 8278520 9313335 12417780 14901336 18626670 24835560 37253340 74506680