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8990132160 = 263525513671
BaseRepresentation
bin10000101111101101…
…01000011111000000
3212012112112000212210
420113312220133000
5121402433212120
64044025422120
7435532601562
oct102766503700
925175460783
108990132160
1138a3771399
1218aa93a940
13b03706939
14613da7332
153793ccce0
hex217da87c0

8990132160 has 112 divisors (see below), whose sum is σ = 28562637312. Its totient is φ = 2395776000.

The previous prime is 8990132147. The next prime is 8990132167. The reversal of 8990132160 is 612310998.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8990132167) 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, 2447125 + ... + 2450795.

Almost surely, 28990132160 is an apocalyptic number.

8990132160 is a gapful number since it is divisible by the number (80) 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 8990132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281318656).

8990132160 is an abundant number, since it is smaller than the sum of its proper divisors (19572505152).

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

8990132160 is a wasteful number, since it uses less digits than its factorization.

8990132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 8990132160 is about 94816.3074581583. The cubic root of 8990132160 is about 2079.3233252500.

The spelling of 8990132160 in words is "eight billion, nine hundred ninety million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2551 3671 5102 7342 7653 10204 11013 12755 14684 15306 18355 20408 22026 25510 29368 30612 36710 38265 40816 44052 51020 55065 58736 61224 73420 76530 81632 88104 102040 110130 117472 122448 146840 153060 163264 176208 204080 220260 234944 244896 293680 306120 352416 408160 440520 489792 587360 612240 704832 816320 881040 1174720 1224480 1762080 2448960 3524160 9364721 18729442 28094163 37458884 46823605 56188326 74917768 93647210 112376652 140470815 149835536 187294420 224753304 280941630 299671072 374588840 449506608 561883260 599342144 749177680 899013216 1123766520 1498355360 1798026432 2247533040 2996710720 4495066080 8990132160