Search a number
-
+
3157130160 = 243258635081
BaseRepresentation
bin1011110000101101…
…1111101110110000
322011000200211101200
42330023133232300
522431211131120
61241140131200
7141144110052
oct27413375660
98130624350
103157130160
111380132688
12741396b00
133b410b972
1421d4298d2
15137280e90
hexbc2dfbb0

3157130160 has 120 divisors (see below), whose sum is σ = 10617070464. Its totient is φ = 840760320.

The previous prime is 3157130149. The next prime is 3157130161. The reversal of 3157130160 is 610317513.

3157130160 is a `hidden beast` number, since 3 + 1 + 571 + 30 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (3157130161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618820 + ... + 623900.

Almost surely, 23157130160 is an apocalyptic number.

3157130160 is a gapful number since it is divisible by the number (30) 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 3157130160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308535232).

3157130160 is an abundant number, since it is smaller than the sum of its proper divisors (7459940304).

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

3157130160 is a wasteful number, since it uses less digits than its factorization.

3157130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3157130160 is about 56188.3454107700. The cubic root of 3157130160 is about 1467.0024157883.

Adding to 3157130160 its reverse (610317513), we get a palindrome (3767447673).

The spelling of 3157130160 in words is "three billion, one hundred fifty-seven million, one hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 863 1726 2589 3452 4315 5081 5178 6904 7767 8630 10162 10356 12945 13808 15243 15534 17260 20324 20712 25405 25890 30486 31068 34520 38835 40648 41424 45729 50810 51780 60972 62136 69040 76215 77670 81296 91458 101620 103560 121944 124272 152430 155340 182916 203240 207120 228645 243888 304860 310680 365832 406480 457290 609720 621360 731664 914580 1219440 1829160 3658320 4384903 8769806 13154709 17539612 21924515 26309418 35079224 39464127 43849030 52618836 65773545 70158448 78928254 87698060 105237672 131547090 157856508 175396120 197320635 210475344 263094180 315713016 350792240 394641270 526188360 631426032 789282540 1052376720 1578565080 3157130160