Search a number
-
+
960149680 = 245710311663
BaseRepresentation
bin111001001110101…
…011100010110000
32110220200122202021
4321032223202300
53431244242210
6235135201224
732536065130
oct7116534260
92426618667
10960149680
11452a85736
12229676214
13123bc6809
1491736ac0
155945dbda
hex393ab8b0

960149680 has 80 divisors (see below), whose sum is σ = 2555265024. Its totient is φ = 328677120.

The previous prime is 960149653. The next prime is 960149683. The reversal of 960149680 is 86941069.

960149680 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 not an unprimeable number, because it can be changed into a prime (960149683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576529 + ... + 578191.

Almost surely, 2960149680 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 960149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277632512).

960149680 is an abundant number, since it is smaller than the sum of its proper divisors (1595115344).

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

960149680 is a wasteful number, since it uses less digits than its factorization.

960149680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 960149680 is about 30986.2821261280. The cubic root of 960149680 is about 986.5360968766.

The spelling of 960149680 in words is "nine hundred sixty million, one hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1031 1663 2062 3326 4124 5155 6652 7217 8248 8315 10310 11641 13304 14434 16496 16630 20620 23282 26608 28868 33260 36085 41240 46564 57736 58205 66520 72170 82480 93128 115472 116410 133040 144340 186256 232820 288680 465640 577360 931280 1714553 3429106 6858212 8572765 12001871 13716424 17145530 24003742 27432848 34291060 48007484 60009355 68582120 96014968 120018710 137164240 192029936 240037420 480074840 960149680