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2920983120 = 243451143953
BaseRepresentation
bin1010111000011010…
…1010101001010000
321112120100022120000
42232012222221100
521440232424440
61201502450000
7132245642526
oct25606525120
97476308500
102920983120
111269900940
12696293900
133772097a3
141d9d18316
15121686730
hexae1aaa50

2920983120 has 400 divisors, whose sum is σ = 11336542272. Its totient is φ = 690923520.

The previous prime is 2920983103. The next prime is 2920983127. The reversal of 2920983120 is 213890292.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920983127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3064564 + ... + 3065516.

Almost surely, 22920983120 is an apocalyptic number.

2920983120 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 2920983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668271136).

2920983120 is an abundant number, since it is smaller than the sum of its proper divisors (8415559152).

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

2920983120 is a wasteful number, since it uses less digits than its factorization.

2920983120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2920983120 is about 54046.1203047915. The cubic root of 2920983120 is about 1429.4742912480.

The spelling of 2920983120 in words is "two billion, nine hundred twenty million, nine hundred eighty-three thousand, one hundred twenty".