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760010868 = 223219472503
BaseRepresentation
bin101101010011001…
…101100001110100
31221222002112220200
4231103031201310
53024030321433
6203225400500
724555662061
oct5523154164
91858075820
10760010868
11360008461
12192639130
13c15c1296
1472d19c68
1546ac8613
hex2d4cd874

760010868 has 108 divisors (see below), whose sum is σ = 2070300960. Its totient is φ = 234429984.

The previous prime is 760010863. The next prime is 760010879. The reversal of 760010868 is 868010067.

760010868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7600108682 = 1155233038956226848, which contains 22 as substring.

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

760010868 is a modest number, since divided by 10868 gives 760 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760010863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1510705 + ... + 1511207.

Almost surely, 2760010868 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 760010868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035150480).

760010868 is an abundant number, since it is smaller than the sum of its proper divisors (1310290092).

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

760010868 is a wasteful number, since it uses less digits than its factorization.

760010868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 760010868 is about 27568.2946153729. The cubic root of 760010868 is about 912.5848770238.

The spelling of 760010868 in words is "seven hundred sixty million, ten thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 503 564 684 846 893 1006 1509 1692 1786 2012 2209 2679 3018 3572 4418 4527 5358 6036 6627 8037 8836 9054 9557 10716 13254 16074 18108 19114 19881 23641 26508 28671 32148 38228 39762 41971 47282 57342 70923 79524 83942 86013 94564 114684 125913 141846 167884 172026 212769 251826 283692 344052 377739 425538 449179 503652 755478 851076 898358 1111127 1347537 1510956 1796716 2222254 2695074 3333381 4042611 4444508 5390148 6666762 8085222 10000143 13333524 16170444 20000286 21111413 40000572 42222826 63334239 84445652 126668478 190002717 253336956 380005434 760010868