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59023140 = 223511372417
BaseRepresentation
bin1110000100100…
…1111100100100
311010001200112020
43201021330210
5110102220030
65505023140
71314455061
oct341117444
9133050466
1059023140
1130353a60
1217924ab0
13c2c7447
147ba5c68
1552ad510
hex3849f24

59023140 has 96 divisors (see below), whose sum is σ = 185238144. Its totient is φ = 13916160.

The previous prime is 59023127. The next prime is 59023141. The reversal of 59023140 is 4132095.

It is a self number, because there is not a number n which added to its sum of digits gives 59023140.

It is not an unprimeable number, because it can be changed into a prime (59023141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23212 + ... + 25628.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 259023140 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 59023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

59023140 is an abundant number, since it is smaller than the sum of its proper divisors (126215004).

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

59023140 is a wasteful number, since it uses less digits than its factorization.

59023140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 59023140 is about 7682.6518859050. The cubic root of 59023140 is about 389.3505298148.

The spelling of 59023140 in words is "fifty-nine million, twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2417 2442 4070 4834 4884 6105 7251 8140 9668 12085 12210 14502 24170 24420 26587 29004 36255 48340 53174 72510 79761 89429 106348 132935 145020 159522 178858 265870 268287 319044 357716 398805 447145 531740 536574 797610 894290 983719 1073148 1341435 1595220 1788580 1967438 2682870 2951157 3934876 4918595 5365740 5902314 9837190 11804628 14755785 19674380 29511570 59023140