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74058680 = 2357189293
BaseRepresentation
bin1000110101000…
…00101110111000
312011100120102002
410122200232320
5122424334210
611203200132
71556326343
oct432405670
9164316362
1074058680
1138893423
1220976048
1312460007
149b9b45a
15677d4a5
hex46a0bb8

74058680 has 64 divisors (see below), whose sum is σ = 171460800. Its totient is φ = 28779520.

The previous prime is 74058667. The next prime is 74058683. The reversal of 74058680 is 8685047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74058683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252614 + ... + 252906.

It is an arithmetic number, because the mean of its divisors is an integer number (2679075).

Almost surely, 274058680 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 74058680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85730400).

74058680 is an abundant number, since it is smaller than the sum of its proper divisors (97402120).

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

74058680 is a wasteful number, since it uses less digits than its factorization.

74058680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 74058680 is about 8605.7352968820. The cubic root of 74058680 is about 419.9445883057.

The spelling of 74058680 in words is "seventy-four million, fifty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 71 89 142 178 284 293 355 356 445 568 586 710 712 890 1172 1420 1465 1780 2344 2840 2930 3560 5860 6319 11720 12638 20803 25276 26077 31595 41606 50552 52154 63190 83212 104015 104308 126380 130385 166424 208030 208616 252760 260770 416060 521540 832120 1043080 1851467 3702934 7405868 9257335 14811736 18514670 37029340 74058680