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2160006632 = 237238314387
BaseRepresentation
bin1000000010111111…
…0001010111101000
312120112102201001122
42000233301113220
513410430203012
6554200234412
7104345516300
oct20057612750
95515381048
102160006632
11a092a3a53
1250346ba08
1328566ab44
14166c2a600
15c996be72
hex80bf15e8

2160006632 has 48 divisors (see below), whose sum is σ = 4723868160. Its totient is φ = 923235936.

The previous prime is 2160006631. The next prime is 2160006637. The reversal of 2160006632 is 2366000612.

It is a super-3 number, since 3×21600066323 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2160006631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142943 + ... + 157329.

It is an arithmetic number, because the mean of its divisors is an integer number (98413920).

Almost surely, 22160006632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2160006632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361934080).

2160006632 is an abundant number, since it is smaller than the sum of its proper divisors (2563861528).

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

2160006632 is a wasteful number, since it uses less digits than its factorization.

2160006632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14790 (or 14779 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2160006632 is about 46475.8715033941. The cubic root of 2160006632 is about 1292.6621370003.

The spelling of 2160006632 in words is "two billion, one hundred sixty million, six thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 383 392 766 1532 2681 3064 5362 10724 14387 18767 21448 28774 37534 57548 75068 100709 115096 150136 201418 402836 704963 805672 1409926 2819852 5510221 5639704 11020442 22040884 38571547 44081768 77143094 154286188 270000829 308572376 540001658 1080003316 2160006632