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60040056 = 233173147101
BaseRepresentation
bin1110010100001…
…0001101111000
311011222100110210
43211002031320
5110332240211
65542511120
71326221616
oct345021570
9134870423
1060040056
1130988a8a
12181354a0
13c59227b
147d8c6b6
15540e9a6
hex3942378

60040056 has 128 divisors (see below), whose sum is σ = 169205760. Its totient is φ = 17664000.

The previous prime is 60040049. The next prime is 60040067. The reversal of 60040056 is 65004006.

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, 594406 + ... + 594506.

It is an arithmetic number, because the mean of its divisors is an integer number (1321920).

Almost surely, 260040056 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 60040056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602880).

60040056 is an abundant number, since it is smaller than the sum of its proper divisors (109165704).

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

60040056 is a wasteful number, since it uses less digits than its factorization.

60040056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 60040056 is about 7748.5518647035. The cubic root of 60040056 is about 391.5738635918.

The spelling of 60040056 in words is "sixty million, forty thousand, fifty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 17 24 31 34 47 51 62 68 93 94 101 102 124 136 141 186 188 202 204 248 282 303 372 376 404 408 527 564 606 744 799 808 1054 1128 1212 1457 1581 1598 1717 2108 2397 2424 2914 3131 3162 3196 3434 4216 4371 4747 4794 5151 5828 6262 6324 6392 6868 8742 9393 9494 9588 10302 11656 12524 12648 13736 14241 17484 18786 18988 19176 20604 24769 25048 28482 34968 37572 37976 41208 49538 53227 56964 74307 75144 80699 99076 106454 113928 147157 148614 159681 161398 198152 212908 242097 294314 297228 319362 322796 425816 441471 484194 588628 594456 638724 645592 882942 968388 1177256 1277448 1765884 1936776 2501669 3531768 5003338 7505007 10006676 15010014 20013352 30020028 60040056