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59104240 = 24513173343
BaseRepresentation
bin1110000101110…
…1101111110000
311010012210202221
43201131233300
5110112313430
65510450424
71315243366
oct341355760
9133183687
1059104240
11303a9988
1217963a14
13c325330
147bc7636
1552c757a
hex385dbf0

59104240 has 80 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 20533248.

The previous prime is 59104237. The next prime is 59104261. The reversal of 59104240 is 4240195.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×591042402 = 6986622371955200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16009 + ... + 19351.

Almost surely, 259104240 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 59104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

59104240 is an abundant number, since it is smaller than the sum of its proper divisors (97635728).

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

59104240 is a wasteful number, since it uses less digits than its factorization.

59104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 59104240 is about 7687.9281994566. The cubic root of 59104240 is about 389.5287755934.

The spelling of 59104240 in words is "fifty-nine million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3343 3536 4420 6686 8840 13372 16715 17680 26744 33430 43459 53488 56831 66860 86918 113662 133720 173836 217295 227324 267440 284155 347672 434590 454648 568310 695344 738803 869180 909296 1136620 1477606 1738360 2273240 2955212 3476720 3694015 4546480 5910424 7388030 11820848 14776060 29552120 59104240