Search a number
-
+
666130176 = 2833175669
BaseRepresentation
bin100111101101000…
…101011100000000
31201102102220211000
4213231011130000
52331012131201
6150033252000
722336004325
oct4755053400
91642386730
10666130176
11312016508
12167104000
13a8010b8a
146467cb4c
153d731d86
hex27b45700

666130176 has 144 divisors (see below), whose sum is σ = 2086106400. Its totient is φ = 208945152.

The previous prime is 666130123. The next prime is 666130189. The reversal of 666130176 is 671031666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6661301762 = 887458822755581952, which contains 22 as substring.

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 666130176.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 114670 + ... + 120338.

It is an arithmetic number, because the mean of its divisors is an integer number (14486850).

Almost surely, 2666130176 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 666130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043053200).

666130176 is an abundant number, since it is smaller than the sum of its proper divisors (1419976224).

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

666130176 is a wasteful number, since it uses less digits than its factorization.

666130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5691 counting only the distinct ones).

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

The square root of 666130176 is about 25809.4977866676. The cubic root of 666130176 is about 873.3460679663.

The spelling of 666130176 in words is "six hundred sixty-six million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 5669 6528 6912 7344 9792 11338 13056 14688 17007 19584 22676 29376 34014 39168 45352 51021 58752 68028 90704 96373 102042 117504 136056 153063 181408 192746 204084 272112 289119 306126 362816 385492 408168 544224 578238 612252 725632 770984 816336 867357 1088448 1156476 1224504 1451264 1541968 1632672 1734714 2176896 2312952 2449008 2602071 3083936 3265344 3469428 4353792 4625904 4898016 5204142 6167872 6530688 6938856 9251808 9796032 10408284 12335744 13061376 13877712 18503616 19592064 20816568 24671488 27755424 37007232 39184128 41633136 55510848 74014464 83266272 111021696 166532544 222043392 333065088 666130176