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58134960 = 24325136211
BaseRepresentation
bin1101110111000…
…1000110110000
311001101120011200
43131301012300
5104340304320
65434011200
71304065452
oct335610660
9131346150
1058134960
112a8a7724
1217576b00
13c0760b0
147a142d2
155185290
hex37711b0

58134960 has 120 divisors (see below), whose sum is σ = 210288624. Its totient is φ = 14307840.

The previous prime is 58134959. The next prime is 58134971. The reversal of 58134960 is 6943185.

58134960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6255 + ... + 12465.

Almost surely, 258134960 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 58134960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105144312).

58134960 is an abundant number, since it is smaller than the sum of its proper divisors (152153664).

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

58134960 is a wasteful number, since it uses less digits than its factorization.

58134960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 58134960 is about 7624.6285155409. The cubic root of 58134960 is about 387.3876691396.

The spelling of 58134960 in words is "fifty-eight million, one hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 6211 9360 12422 18633 24844 31055 37266 49688 55899 62110 74532 80743 93165 99376 111798 124220 149064 161486 186330 223596 242229 248440 279495 298128 322972 372660 403715 447192 484458 496880 558990 645944 726687 745320 807430 894384 968916 1117980 1211145 1291888 1453374 1490640 1614860 1937832 2235960 2422290 2906748 3229720 3633435 3875664 4471920 4844580 5813496 6459440 7266870 9689160 11626992 14533740 19378320 29067480 58134960