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59013990 = 23257283331
BaseRepresentation
bin1110000100011…
…1101101100110
311010001012222100
43201013231212
5110101421430
65504512530
71314416310
oct341075546
9133035870
1059013990
11303480a2
121791b746
13c2c3229
147ba27b0
1552aa960
hex3847b66

59013990 has 96 divisors (see below), whose sum is σ = 176507136. Its totient is φ = 13400640.

The previous prime is 59013989. The next prime is 59013991. The reversal of 59013990 is 9931095.

It is an interprime number because it is at equal distance from previous prime (59013989) and next prime (59013991).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59013991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178125 + ... + 178455.

It is an arithmetic number, because the mean of its divisors is an integer number (1838616).

Almost surely, 259013990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59013990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88253568).

59013990 is an abundant number, since it is smaller than the sum of its proper divisors (117493146).

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

59013990 is a wasteful number, since it uses less digits than its factorization.

59013990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 59013990 is about 7682.0563653230. The cubic root of 59013990 is about 389.3304092233.

The spelling of 59013990 in words is "fifty-nine million, thirteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 283 315 331 566 630 662 849 993 1415 1655 1698 1981 1986 2317 2547 2830 2979 3310 3962 4245 4634 4965 5094 5943 5958 6951 8490 9905 9930 11585 11886 12735 13902 14895 17829 19810 20853 23170 25470 29715 29790 34755 35658 41706 59430 69510 89145 93673 104265 178290 187346 208530 281019 468365 562038 655711 843057 936730 1311422 1405095 1686114 1967133 2810190 3278555 3934266 4215285 5901399 6557110 8430570 9835665 11802798 19671330 29506995 59013990