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2131594704 = 24345331033
BaseRepresentation
bin111111100001101…
…1000110111010000
312111112222020020000
41333003120313100
513331142012304
6551303250000
7103552153551
oct17703306720
95445866200
102131594704
119a4258718
124b5a49900
1327c800955
14163152328
15c7208939
hex7f0d8dd0

2131594704 has 100 divisors (see below), whose sum is σ = 6286060836. Its totient is φ = 697102848.

The previous prime is 2131594681. The next prime is 2131594711. The reversal of 2131594704 is 4074951312.

2131594704 = 1673 + 1683 + ... + 3103.

2131594704 is a `hidden beast` number, since 2 + 131 + 59 + 470 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1483790400 + 647804304 = 38520^2 + 25452^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53172 + ... + 84204.

Almost surely, 22131594704 is an apocalyptic number.

2131594704 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 2131594704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143030418).

2131594704 is an abundant number, since it is smaller than the sum of its proper divisors (4154466132).

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

2131594704 is a wasteful number, since it uses less digits than its factorization.

2131594704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31106 (or 31091 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2131594704 is about 46169.1964842361. The cubic root of 2131594704 is about 1286.9693702264.

The spelling of 2131594704 in words is "two billion, one hundred thirty-one million, five hundred ninety-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 5724 7632 8586 11448 17172 22896 31033 34344 62066 68688 93099 124132 186198 248264 279297 372396 496528 558594 744792 837891 1117188 1489584 1644749 1675782 2234376 2513673 3289498 3351564 4468752 4934247 5027346 6578996 6703128 9868494 10054692 13157992 13406256 14802741 19736988 20109384 26315984 29605482 39473976 40218768 44408223 59210964 78947952 88816446 118421928 133224669 177632892 236843856 266449338 355265784 532898676 710531568 1065797352 2131594704