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74970960 = 24351941401
BaseRepresentation
bin1000111011111…
…11011101010000
312020001220211020
410131333131100
5123143032320
611234515440
71600146141
oct435773520
9166056736
1074970960
1139356879
1221135b80
13126bc31c
149d57ac8
1568ad940
hex477f750

74970960 has 160 divisors (see below), whose sum is σ = 251233920. Its totient is φ = 18432000.

The previous prime is 74970953. The next prime is 74970977. The reversal of 74970960 is 6907947.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186760 + ... + 187160.

It is an arithmetic number, because the mean of its divisors is an integer number (1570212).

Almost surely, 274970960 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 74970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125616960).

74970960 is an abundant number, since it is smaller than the sum of its proper divisors (176262960).

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

74970960 is a wasteful number, since it uses less digits than its factorization.

74970960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 74970960 is about 8658.5772503339. The cubic root of 74970960 is about 421.6618961030.

The spelling of 74970960 in words is "seventy-four million, nine hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 41 48 57 60 76 80 82 95 114 120 123 152 164 190 205 228 240 246 285 304 328 380 401 410 456 492 570 615 656 760 779 802 820 912 984 1140 1203 1230 1520 1558 1604 1640 1968 2005 2280 2337 2406 2460 3116 3208 3280 3895 4010 4560 4674 4812 4920 6015 6232 6416 7619 7790 8020 9348 9624 9840 11685 12030 12464 15238 15580 16040 16441 18696 19248 22857 23370 24060 30476 31160 32080 32882 37392 38095 45714 46740 48120 49323 60952 62320 65764 76190 82205 91428 93480 96240 98646 114285 121904 131528 152380 164410 182856 186960 197292 228570 246615 263056 304760 312379 328820 365712 394584 457140 493230 609520 624758 657640 789168 914280 937137 986460 1249516 1315280 1561895 1828560 1874274 1972920 2499032 3123790 3748548 3945840 4685685 4998064 6247580 7497096 9371370 12495160 14994192 18742740 24990320 37485480 74970960