Search a number
-
+
761066136 = 2332232511831
BaseRepresentation
bin101101010111001…
…111001010011000
31222001002011110200
4231113033022120
53024313104021
6203304142200
724600645465
oct5527171230
91861064420
10761066136
11360669286
12192a67960
13c18a06bc
147311266c
1546c36126
hex2d5cf298

761066136 has 96 divisors (see below), whose sum is σ = 2160587520. Its totient is φ = 241560000.

The previous prime is 761066107. The next prime is 761066143. The reversal of 761066136 is 631660167.

761066136 is a `hidden beast` number, since 7 + 610 + 6 + 6 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 761066136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414741 + ... + 416571.

It is an arithmetic number, because the mean of its divisors is an integer number (22506120).

Almost surely, 2761066136 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 761066136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080293760).

761066136 is an abundant number, since it is smaller than the sum of its proper divisors (1399521384).

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

761066136 is a wasteful number, since it uses less digits than its factorization.

761066136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 761066136 is about 27587.4271362880. The cubic root of 761066136 is about 913.0070535507.

The spelling of 761066136 in words is "seven hundred sixty-one million, sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 251 276 414 502 552 753 828 1004 1506 1656 1831 2008 2259 3012 3662 4518 5493 5773 6024 7324 9036 10986 11546 14648 16479 17319 18072 21972 23092 32958 34638 42113 43944 46184 51957 65916 69276 84226 103914 126339 131832 138552 168452 207828 252678 336904 379017 415656 459581 505356 758034 919162 1010712 1378743 1516068 1838324 2757486 3032136 3676648 4136229 5514972 8272458 10570363 11029944 16544916 21140726 31711089 33089832 42281452 63422178 84562904 95133267 126844356 190266534 253688712 380533068 761066136