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2120488632 = 23343272359
BaseRepresentation
bin111111001100100…
…0001011010111000
312110210001222120000
41332121001122320
513320321114012
6550225233000
7103355566413
oct17631013270
95423058500
102120488632
11998a62549
124b2192760
1327a412802
141618a0b7a
15c6262ddc
hex7e6416b8

2120488632 has 40 divisors (see below), whose sum is σ = 5939333400. Its totient is φ = 706829328.

The previous prime is 2120488631. The next prime is 2120488639. The reversal of 2120488632 is 2368840212.

2120488632 is a `hidden beast` number, since 2 + 12 + 0 + 4 + 8 + 8 + 632 = 666.

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 (2120488631) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1635532 + ... + 1636827.

It is an arithmetic number, because the mean of its divisors is an integer number (148483335).

Almost surely, 22120488632 is an apocalyptic number.

It is an amenable number.

2120488632 is an abundant number, since it is smaller than the sum of its proper divisors (3818844768).

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

2120488632 is a wasteful number, since it uses less digits than its factorization.

2120488632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272377 (or 3272364 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2120488632 is about 46048.7636316112. The cubic root of 2120488632 is about 1284.7303470074.

The spelling of 2120488632 in words is "two billion, one hundred twenty million, four hundred eighty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3272359 6544718 9817077 13089436 19634154 26178872 29451231 39268308 58902462 78536616 88353693 117804924 176707386 235609848 265061079 353414772 530122158 706829544 1060244316 2120488632