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60268040 = 2357297317
BaseRepresentation
bin1110010111100…
…1111000001000
311012101221012122
43211321320020
5110412034130
65551430412
71331161400
oct345717010
9135357178
1060268040
11310242a8
1218225408
13c641c81
14800b800
1554572e5
hex3979e08

60268040 has 96 divisors (see below), whose sum is σ = 159871320. Its totient is φ = 20385792.

The previous prime is 60268031. The next prime is 60268051. The reversal of 60268040 is 4086206.

60268040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31516996 + 28751044 = 5614^2 + 5362^2 .

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, 189962 + ... + 190278.

Almost surely, 260268040 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 60268040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79935660).

60268040 is an abundant number, since it is smaller than the sum of its proper divisors (99603280).

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

60268040 is a wasteful number, since it uses less digits than its factorization.

60268040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 60268040 is about 7763.2493197114. The cubic root of 60268040 is about 392.0688654522.

The spelling of 60268040 in words is "sixty million, two hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 97 98 140 194 196 245 280 317 388 392 485 490 634 679 776 970 980 1268 1358 1585 1940 1960 2219 2536 2716 3170 3395 3880 4438 4753 5432 6340 6790 8876 9506 11095 12680 13580 15533 17752 19012 22190 23765 27160 30749 31066 38024 44380 47530 61498 62132 77665 88760 95060 122996 124264 153745 155330 190120 215243 245992 307490 310660 430486 614980 621320 860972 1076215 1229960 1506701 1721944 2152430 3013402 4304860 6026804 7533505 8609720 12053608 15067010 30134020 60268040