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74280136 = 2372953863
BaseRepresentation
bin1000110110101…
…10110011001000
312011202211012011
410123112303020
5123003431021
611212025304
71561241110
oct433266310
9164684164
1074280136
1138a24847
1220a62234
1312509a58
149c18040
1567c3de1
hex46d6cc8

74280136 has 64 divisors (see below), whose sum is σ = 167961600. Its totient is φ = 30121728.

The previous prime is 74280131. The next prime is 74280137. The reversal of 74280136 is 63108247.

It is a junction number, because it is equal to n+sod(n) for n = 74280098 and 74280107.

It is not an unprimeable number, because it can be changed into a prime (74280131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85641 + ... + 86503.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 274280136 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 74280136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83980800).

74280136 is an abundant number, since it is smaller than the sum of its proper divisors (93681464).

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

74280136 is a wasteful number, since it uses less digits than its factorization.

74280136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 74280136 is about 8618.5924604891. The cubic root of 74280136 is about 420.3627553799.

The spelling of 74280136 in words is "seventy-four million, two hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 29 53 56 58 106 116 203 212 232 371 406 424 742 812 863 1484 1537 1624 1726 2968 3074 3452 6041 6148 6904 10759 12082 12296 21518 24164 25027 43036 45739 48328 50054 86072 91478 100108 175189 182956 200216 320173 350378 365912 640346 700756 1280692 1326431 1401512 2561384 2652862 5305724 9285017 10611448 18570034 37140068 74280136