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58012240 = 24511213461
BaseRepresentation
bin1101110101001…
…1001001010000
311001011022211111
43131103021100
5104322342430
65431223104
71303044616
oct335231120
9131138744
1058012240
112a823500
1217517a94
13c032290
1479c16b6
15515dc2a
hex3753250

58012240 has 120 divisors (see below), whose sum is σ = 160005384. Its totient is φ = 19430400.

The previous prime is 58012223. The next prime is 58012259. The reversal of 58012240 is 4221085.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 57942544 = 264^2 + 7612^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125610 + ... + 126070.

Almost surely, 258012240 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 58012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80002692).

58012240 is an abundant number, since it is smaller than the sum of its proper divisors (101993144).

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

58012240 is a wasteful number, since it uses less digits than its factorization.

58012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 58012240 is about 7616.5766588409. The cubic root of 58012240 is about 387.1148917625.

The spelling of 58012240 in words is "fifty-eight million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 121 130 143 176 208 220 242 260 286 440 461 484 520 572 605 715 880 922 968 1040 1144 1210 1430 1573 1844 1936 2288 2305 2420 2860 3146 3688 4610 4840 5071 5720 5993 6292 7376 7865 9220 9680 10142 11440 11986 12584 15730 18440 20284 23972 25168 25355 29965 31460 36880 40568 47944 50710 55781 59930 62920 65923 81136 95888 101420 111562 119860 125840 131846 202840 223124 239720 263692 278905 329615 405680 446248 479440 527384 557810 659230 725153 892496 1054768 1115620 1318460 1450306 2231240 2636920 2900612 3625765 4462480 5273840 5801224 7251530 11602448 14503060 29006120 58012240