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5128640 = 265113147
BaseRepresentation
bin10011100100000111000000
3100122120011122
4103210013000
52303104030
6301531412
761410206
oct23440700
910576148
105128640
112993250
121873b68
1310a74ca
14977076
156b48e5
hex4e41c0

5128640 has 112 divisors (see below), whose sum is σ = 14045184. Its totient is φ = 1766400.

The previous prime is 5128639. The next prime is 5128657. The reversal of 5128640 is 468215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109097 + ... + 109143.

Almost surely, 25128640 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 5128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022592).

5128640 is an abundant number, since it is smaller than the sum of its proper divisors (8916544).

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

5128640 is a wasteful number, since it uses less digits than its factorization.

5128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5128640 is about 2264.6500833462. The cubic root of 5128640 is about 172.4516702805.

The spelling of 5128640 in words is "five million, one hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 47 55 62 64 80 88 94 110 124 155 160 176 188 220 235 248 310 320 341 352 376 440 470 496 517 620 682 704 752 880 940 992 1034 1240 1364 1457 1504 1705 1760 1880 1984 2068 2480 2585 2728 2914 3008 3410 3520 3760 4136 4960 5170 5456 5828 6820 7285 7520 8272 9920 10340 10912 11656 13640 14570 15040 16027 16544 20680 21824 23312 27280 29140 32054 33088 41360 46624 54560 58280 64108 80135 82720 93248 109120 116560 128216 160270 165440 233120 256432 320540 466240 512864 641080 1025728 1282160 2564320 5128640