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74972430 = 232513139461
BaseRepresentation
bin1000111011111…
…11110100001110
312020001222211200
410131333310032
5123143104210
611234530330
71600153341
oct435776416
9166058750
1074972430
1139357995
12211369a6
13126bcbb0
149d58458
1568ae0c0
hex477fd0e

74972430 has 96 divisors (see below), whose sum is σ = 211891680. Its totient is φ = 18282240.

The previous prime is 74972407. The next prime is 74972437. The reversal of 74972430 is 3427947.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74972437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162400 + ... + 162860.

It is an arithmetic number, because the mean of its divisors is an integer number (2207205).

Almost surely, 274972430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74972430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945840).

74972430 is an abundant number, since it is smaller than the sum of its proper divisors (136919250).

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

74972430 is a wasteful number, since it uses less digits than its factorization.

74972430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 74972430 is about 8658.6621368431. The cubic root of 74972430 is about 421.6646520098.

The spelling of 74972430 in words is "seventy-four million, nine hundred seventy-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 139 195 234 278 390 417 461 585 695 834 922 1170 1251 1383 1390 1807 2085 2305 2502 2766 3614 4149 4170 4610 5421 5993 6255 6915 8298 9035 10842 11986 12510 13830 16263 17979 18070 20745 27105 29965 32526 35958 41490 53937 54210 59930 64079 81315 89895 107874 128158 162630 179790 192237 269685 320395 384474 539370 576711 640790 833027 961185 1153422 1666054 1922370 2499081 2883555 4165135 4998162 5767110 7497243 8330270 12495405 14994486 24990810 37486215 74972430