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661161960 = 233351736011
BaseRepresentation
bin100111011010001…
…000011111101000
31201002002111201000
4213122020133220
52323224140320
6145334555000
722245532614
oct4732103750
91632074630
10661161960
1130a232848
12165508a60
13a6c916c4
1463b48344
153d09ec90
hex276887e8

661161960 has 128 divisors (see below), whose sum is σ = 2333577600. Its totient is φ = 165934080.

The previous prime is 661161953. The next prime is 661161961. The reversal of 661161960 is 69161166.

661161960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (661161961) 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, 355 + ... + 36365.

It is an arithmetic number, because the mean of its divisors is an integer number (18231075).

Almost surely, 2661161960 is an apocalyptic number.

661161960 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 661161960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166788800).

661161960 is an abundant number, since it is smaller than the sum of its proper divisors (1672415640).

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

661161960 is a wasteful number, since it uses less digits than its factorization.

661161960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36048 (or 36038 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 661161960 is about 25713.0698283966. The cubic root of 661161960 is about 871.1694143426.

The spelling of 661161960 in words is "six hundred sixty-one million, one hundred sixty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 36011 72022 108033 144044 180055 216066 288088 324099 360110 432132 540165 612187 648198 720220 864264 972297 1080330 1224374 1296396 1440440 1620495 1836561 1944594 2160660 2448748 2592792 3060935 3240990 3673122 3889188 4321320 4861485 4897496 5509683 6121870 6481980 7346244 7778376 9182805 9722970 11019366 12243740 12963960 14692488 16529049 18365610 19445940 22038732 24487480 27548415 33058098 36731220 38891880 44077464 55096830 66116196 73462440 82645245 110193660 132232392 165290490 220387320 330580980 661161960