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2972042180 = 225434773529
BaseRepresentation
bin1011000100100101…
…1100001111000100
321200010102101102022
42301021130033010
522041320322210
61210525102312
7133435641002
oct26111341704
97603371368
102972042180
111295705308
126ab3b7998
13384975c53
14202a09a72
15125dc0155
hexb125c3c4

2972042180 has 48 divisors (see below), whose sum is σ = 6522405120. Its totient is φ = 1136448768.

The previous prime is 2972042159. The next prime is 2972042191. The reversal of 2972042180 is 812402792.

It is a self number, because there is not a number n which added to its sum of digits gives 2972042180.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3656 + ... + 77184.

It is an arithmetic number, because the mean of its divisors is an integer number (135883440).

Almost surely, 22972042180 is an apocalyptic number.

2972042180 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 2972042180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261202560).

2972042180 is an abundant number, since it is smaller than the sum of its proper divisors (3550362940).

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

2972042180 is a wasteful number, since it uses less digits than its factorization.

2972042180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73628 (or 73626 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 2972042180 is about 54516.4395389134. The cubic root of 2972042180 is about 1437.7553409553.

The spelling of 2972042180 in words is "two billion, nine hundred seventy-two million, forty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 43 47 86 94 172 188 215 235 430 470 860 940 2021 4042 8084 10105 20210 40420 73529 147058 294116 367645 735290 1470580 3161747 3455863 6323494 6911726 12646988 13823452 15808735 17279315 31617470 34558630 63234940 69117260 148602109 297204218 594408436 743010545 1486021090 2972042180