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653130060 = 2235118911119
BaseRepresentation
bin100110111011011…
…111100101001100
31200111222110000020
4212323133211030
52314200130220
6144450502140
722120341162
oct4673374514
91614873006
10653130060
11305747310
12162894950
13a540b8bb
1462a57232
153c515040
hex26edf94c

653130060 has 96 divisors (see below), whose sum is σ = 2017612800. Its totient is φ = 156541440.

The previous prime is 653130047. The next prime is 653130067. The reversal of 653130060 is 60031356.

It is a self number, because there is not a number n which added to its sum of digits gives 653130060.

It is not an unprimeable number, because it can be changed into a prime (653130067) 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, 53181 + ... + 64299.

It is an arithmetic number, because the mean of its divisors is an integer number (21016800).

Almost surely, 2653130060 is an apocalyptic number.

653130060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653130060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008806400).

653130060 is an abundant number, since it is smaller than the sum of its proper divisors (1364482740).

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

653130060 is a wasteful number, since it uses less digits than its factorization.

653130060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11231 (or 11229 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 653130060 is about 25556.4093722103. The cubic root of 653130060 is about 867.6273308709.

The spelling of 653130060 in words is "six hundred fifty-three million, one hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11119 11748 14685 19580 22238 29370 33357 44476 55595 58740 66714 111190 122309 133428 166785 222380 244618 333570 366927 489236 611545 667140 733854 989591 1223090 1467708 1834635 1979182 2446180 2968773 3669270 3958364 4947955 5937546 7338540 9895910 10885501 11875092 14843865 19791820 21771002 29687730 32656503 43542004 54427505 59375460 65313006 108855010 130626012 163282515 217710020 326565030 653130060