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74772540 = 223252318061
BaseRepresentation
bin1000111010011…
…11000000111100
312012200211122100
410131033000330
5123120210130
611230345100
71565361513
oct435170074
9165624570
1074772540
1139230797
122105b190
131264cc0b
149d0567a
15686ec60
hex474f03c

74772540 has 72 divisors (see below), whose sum is σ = 236684448. Its totient is φ = 19071360.

The previous prime is 74772499. The next prime is 74772553. The reversal of 74772540 is 4527747.

It is a happy number.

74772540 is a `hidden beast` number, since 7 + 47 + 72 + 540 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 74772495 and 74772504.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4891 + ... + 13170.

It is an arithmetic number, because the mean of its divisors is an integer number (3287284).

Almost surely, 274772540 is an apocalyptic number.

It is an amenable number.

74772540 is an abundant number, since it is smaller than the sum of its proper divisors (161911908).

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

74772540 is a wasteful number, since it uses less digits than its factorization.

74772540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18099 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 74772540 is about 8647.1116565013. Note that the first 3 decimals coincide. The cubic root of 74772540 is about 421.2895738371.

The spelling of 74772540 in words is "seventy-four million, seven hundred seventy-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 18061 36122 54183 72244 90305 108366 162549 180610 216732 270915 325098 361220 415403 541830 650196 812745 830806 1083660 1246209 1625490 1661612 2077015 2492418 3250980 3738627 4154030 4984836 6231045 7477254 8308060 12462090 14954508 18693135 24924180 37386270 74772540