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59112990 = 23451923167
BaseRepresentation
bin1110000101111…
…1111000011110
311010020020210000
43201133320132
5110113103430
65510555130
71315311036
oct341377036
9133206700
1059112990
1130405512
1217968aa6
13c329301
147bca8c6
1552c9e60
hex385fe1e

59112990 has 160 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 14198976.

The previous prime is 59112983. The next prime is 59113111. The reversal of 59112990 is 9921195.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 353887 + ... + 354053.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 259112990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59112990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

59112990 is an abundant number, since it is smaller than the sum of its proper divisors (116520930).

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

59112990 is a wasteful number, since it uses less digits than its factorization.

59112990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 59112990 is about 7688.4972523894. The cubic root of 59112990 is about 389.5479970492.

The spelling of 59112990 in words is "fifty-nine million, one hundred twelve thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 27 30 38 45 46 54 57 69 81 90 95 114 115 135 138 162 167 171 190 207 230 270 285 334 342 345 405 414 437 501 513 570 621 690 810 835 855 874 1002 1026 1035 1242 1311 1503 1539 1670 1710 1863 2070 2185 2505 2565 2622 3006 3078 3105 3173 3726 3841 3933 4370 4509 5010 5130 6210 6346 6555 7515 7682 7695 7866 9018 9315 9519 11523 11799 13110 13527 15030 15390 15865 18630 19038 19205 19665 22545 23046 23598 27054 28557 31730 34569 35397 38410 39330 45090 47595 57114 57615 58995 67635 69138 70794 72979 85671 95190 103707 115230 117990 135270 142785 145958 171342 172845 176985 207414 218937 257013 285570 311121 345690 353970 364895 428355 437874 514026 518535 622242 656811 729790 856710 1037070 1094685 1285065 1313622 1555605 1970433 2189370 2570130 3111210 3284055 3940866 5911299 6568110 9852165 11822598 19704330 29556495 59112990