Search a number
-
+
2313916160 = 28512831409
BaseRepresentation
bin1000100111101011…
…1000111100000000
312222021001010020112
42021322320330000
514214330304120
61021335130452
7111224651153
oct21172707400
95867033215
102313916160
11a88166506
12546b13a28
132ab50837a
1417d451c9a
15d821ebc5
hex89eb8f00

2313916160 has 72 divisors (see below), whose sum is σ = 5550809040. Its totient is φ = 924188672.

The previous prime is 2313916153. The next prime is 2313916169. The reversal of 2313916160 is 616193132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313916169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1641536 + ... + 1642944.

It is an arithmetic number, because the mean of its divisors is an integer number (77094570).

Almost surely, 22313916160 is an apocalyptic number.

2313916160 is a gapful number since it is divisible by the number (20) 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 2313916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775404520).

2313916160 is an abundant number, since it is smaller than the sum of its proper divisors (3236892880).

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

2313916160 is a wasteful number, since it uses less digits than its factorization.

2313916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 2313916160 is about 48103.1824311032. The cubic root of 2313916160 is about 1322.6630047447.

The spelling of 2313916160 in words is "two billion, three hundred thirteen million, nine hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1283 1409 2566 2818 5132 5636 6415 7045 10264 11272 12830 14090 20528 22544 25660 28180 41056 45088 51320 56360 82112 90176 102640 112720 164224 180352 205280 225440 328448 360704 410560 450880 821120 901760 1642240 1803520 1807747 3615494 7230988 9038735 14461976 18077470 28923952 36154940 57847904 72309880 115695808 144619760 231391616 289239520 462783232 578479040 1156958080 2313916160