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2925672120 = 23325717312203
BaseRepresentation
bin1010111001100010…
…0011011010111000
321112220011112122200
42232120203122320
521442433001440
61202151150200
7132333542220
oct25630433270
97486145580
102925672120
111271513848
12697975360
1337818bb47
141da7b9080
15121cb0c30
hexae6236b8

2925672120 has 384 divisors, whose sum is σ = 11882557440. Its totient is φ = 608808960.

The previous prime is 2925672107. The next prime is 2925672181. The reversal of 2925672120 is 212765292.

It is a happy number.

2925672120 is a `hidden beast` number, since 2 + 92 + 567 + 2 + 1 + 2 + 0 = 666.

2925672120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1326939 + ... + 1329141.

It is an arithmetic number, because the mean of its divisors is an integer number (30944160).

Almost surely, 22925672120 is an apocalyptic number.

2925672120 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 2925672120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941278720).

2925672120 is an abundant number, since it is smaller than the sum of its proper divisors (8956885320).

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

2925672120 is a wasteful number, since it uses less digits than its factorization.

2925672120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2925672120 is about 54089.4825266428. The cubic root of 2925672120 is about 1430.2387851692.

The spelling of 2925672120 in words is "two billion, nine hundred twenty-five million, six hundred seventy-two thousand, one hundred twenty".