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631142160 = 243511239069
BaseRepresentation
bin100101100111100…
…111011100010000
31121222121100021120
4211213213130100
52243033022120
6142343322240
721432422415
oct4547473420
91558540246
10631142160
112a42994a0
12157450380
13a09b06cc
145db7210c
153a620140
hex259e7710

631142160 has 80 divisors (see below), whose sum is σ = 2134416960. Its totient is φ = 153003520.

The previous prime is 631142147. The next prime is 631142191. The reversal of 631142160 is 61241136.

631142160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6311421602 = 796680852258931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 631142160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116895 + ... + 122174.

It is an arithmetic number, because the mean of its divisors is an integer number (26680212).

Almost surely, 2631142160 is an apocalyptic number.

631142160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

631142160 is an abundant number, since it is smaller than the sum of its proper divisors (1503274800).

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

631142160 is a wasteful number, since it uses less digits than its factorization.

631142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239096 (or 239090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 631142160 is about 25122.5428649251. The cubic root of 631142160 is about 857.7796338017.

Adding to 631142160 its reverse (61241136), we get a palindrome (692383296).

The spelling of 631142160 in words is "six hundred thirty-one million, one hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 239069 478138 717207 956276 1195345 1434414 1912552 2390690 2629759 2868828 3586035 3825104 4781380 5259518 5737656 7172070 7889277 9562760 10519036 11475312 13148795 14344140 15778554 19125520 21038072 26297590 28688280 31557108 39446385 42076144 52595180 57376560 63114216 78892770 105190360 126228432 157785540 210380720 315571080 631142160