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58133040 = 2435734603
BaseRepresentation
bin1101110111000…
…0101000110000
311001101110112120
43131300220300
5104340224130
65433554240
71304060040
oct335605060
9131343476
1058133040
112a8a6239
1217575980
13c075264
147a13720
155184910
hex3770a30

58133040 has 80 divisors (see below), whose sum is σ = 205963008. Its totient is φ = 13287168.

The previous prime is 58133003. The next prime is 58133041. The reversal of 58133040 is 4033185.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 58133040.

It is not an unprimeable number, because it can be changed into a prime (58133041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15622 + ... + 18981.

Almost surely, 258133040 is an apocalyptic number.

It is an amenable number.

58133040 is an abundant number, since it is smaller than the sum of its proper divisors (147829968).

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

58133040 is a wasteful number, since it uses less digits than its factorization.

58133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34626 (or 34620 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 58133040 is about 7624.5026067279. The cubic root of 58133040 is about 387.3834043936.

The spelling of 58133040 in words is "fifty-eight million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 34603 69206 103809 138412 173015 207618 242221 276824 346030 415236 484442 519045 553648 692060 726663 830472 968884 1038090 1211105 1384120 1453326 1660944 1937768 2076180 2422210 2768240 2906652 3633315 3875536 4152360 4844420 5813304 7266630 8304720 9688840 11626608 14533260 19377680 29066520 58133040