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2130394572 = 2232533073637
BaseRepresentation
bin111111011111011…
…0011110111001100
312111110201020221200
41332332303313030
513330340111242
6551221425500
7103536024615
oct17676636714
95443636850
102130394572
119a3608a79
124b556b290
1327c4a0607
14162d1cc0c
15c706d04c
hex7efb3dcc

2130394572 has 72 divisors (see below), whose sum is σ = 5506156656. Its totient is φ = 694272384.

The previous prime is 2130394507. The next prime is 2130394579. The reversal of 2130394572 is 2754930312.

2130394572 is a `hidden beast` number, since 21 + 30 + 39 + 4 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2130394579) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583938 + ... + 587574.

It is an arithmetic number, because the mean of its divisors is an integer number (76474398).

Almost surely, 22130394572 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 2130394572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753078328).

2130394572 is an abundant number, since it is smaller than the sum of its proper divisors (3375762084).

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

2130394572 is a wasteful number, since it uses less digits than its factorization.

2130394572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2130394572 is about 46156.1975470250. The cubic root of 2130394572 is about 1286.7277947399.

The spelling of 2130394572 in words is "two billion, one hundred thirty million, three hundred ninety-four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 307 318 477 614 636 921 954 1228 1842 1908 2763 3637 3684 5526 7274 10911 11052 14548 16271 21822 32542 32733 43644 48813 65084 65466 97626 130932 146439 192761 195252 292878 385522 578283 585756 771044 1116559 1156566 1734849 2233118 2313132 3349677 3469698 4466236 6699354 6939396 10049031 13398708 20098062 40196124 59177627 118355254 177532881 236710508 355065762 532598643 710131524 1065197286 2130394572