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2130492384 = 253210173243
BaseRepresentation
bin111111011111100…
…1011101111100000
312111110220020010100
41332333023233200
513330401224014
6551223502400
7103536613026
oct17677135740
95443806110
102130492384
119a3675509
124b55b7a00
1327c505ca7
14162d46716
15c708c009
hex7efcbbe0

2130492384 has 72 divisors (see below), whose sum is σ = 6118657272. Its totient is φ = 703123200.

The previous prime is 2130492367. The next prime is 2130492451. The reversal of 2130492384 is 4832940312.

2130492384 is a `hidden beast` number, since 2 + 130 + 492 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 7534 + ... + 65709.

It is an arithmetic number, because the mean of its divisors is an integer number (84981351).

Almost surely, 22130492384 is an apocalyptic number.

2130492384 is a gapful number since it is divisible by the number (24) 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 2130492384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059328636).

2130492384 is an abundant number, since it is smaller than the sum of its proper divisors (3988164888).

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

2130492384 is a wasteful number, since it uses less digits than its factorization.

2130492384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73360 (or 73349 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2130492384 is about 46157.2571108813. The cubic root of 2130492384 is about 1286.7474867874.

The spelling of 2130492384 in words is "two billion, one hundred thirty million, four hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 29088 73243 146486 219729 292972 439458 585944 659187 878916 1171888 1318374 1757832 2343776 2636748 3515664 5273496 7031328 7397543 10546992 14795086 21093984 22192629 29590172 44385258 59180344 66577887 88770516 118360688 133155774 177541032 236721376 266311548 355082064 532623096 710164128 1065246192 2130492384