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5074960 = 245117379
BaseRepresentation
bin10011010111000000010000
3100112211112111
4103113000100
52244344320
6300435104
761064542
oct23270020
910484474
105074960
112956990
121848a94
131088c47
14961692
156a3a5a
hex4d7010

5074960 has 80 divisors (see below), whose sum is σ = 13213440. Its totient is φ = 1797120.

The previous prime is 5074933. The next prime is 5074961. The reversal of 5074960 is 694705.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5074961) 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, 64201 + ... + 64279.

It is an arithmetic number, because the mean of its divisors is an integer number (165168).

Almost surely, 25074960 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 5074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606720).

5074960 is an abundant number, since it is smaller than the sum of its proper divisors (8138480).

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

5074960 is a wasteful number, since it uses less digits than its factorization.

5074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5074960 is about 2252.7671872610. The cubic root of 5074960 is about 171.8478914822.

The spelling of 5074960 in words is "five million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 79 80 88 110 146 158 176 220 292 316 365 395 440 584 632 730 790 803 869 880 1168 1264 1460 1580 1606 1738 2920 3160 3212 3476 4015 4345 5767 5840 6320 6424 6952 8030 8690 11534 12848 13904 16060 17380 23068 28835 32120 34760 46136 57670 63437 64240 69520 92272 115340 126874 230680 253748 317185 461360 507496 634370 1014992 1268740 2537480 5074960