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74658640 = 2457133319
BaseRepresentation
bin1000111001100…
…11001101010000
312012111001101211
410130303031100
5123103034030
611224105504
71564405450
oct434631520
9165431354
1074658640
1139163161
1221005294
1312610114
149cb5d60
15684b12a
hex4733350

74658640 has 40 divisors (see below), whose sum is σ = 198380160. Its totient is φ = 25597056.

The previous prime is 74658589. The next prime is 74658671. The reversal of 74658640 is 4685647.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 74658593 and 74658602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66100 + ... + 67219.

It is an arithmetic number, because the mean of its divisors is an integer number (4959504).

Almost surely, 274658640 is an apocalyptic number.

74658640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74658640 is an abundant number, since it is smaller than the sum of its proper divisors (123721520).

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

74658640 is a wasteful number, since it uses less digits than its factorization.

74658640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133339 (or 133333 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 74658640 is about 8640.5231323109. The cubic root of 74658640 is about 421.0755502218.

The spelling of 74658640 in words is "seventy-four million, six hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 133319 266638 533276 666595 933233 1066552 1333190 1866466 2133104 2666380 3732932 4666165 5332760 7465864 9332330 10665520 14931728 18664660 37329320 74658640