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2307053056 = 29711139421
BaseRepresentation
bin1000100110000010…
…1101011000000000
312221210010102211111
42021200231120000
514211101144211
61020532053104
7111112425130
oct21140553000
95853112744
102307053056
11a842a9120
12544764194
132a9c74569
1417c586ac0
15d7816421
hex8982d600

2307053056 has 160 divisors (see below), whose sum is σ = 5802128640. Its totient is φ = 890265600.

The previous prime is 2307053053. The next prime is 2307053069. The reversal of 2307053056 is 6503507032.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2307053053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5479726 + ... + 5480146.

It is an arithmetic number, because the mean of its divisors is an integer number (36263304).

Almost surely, 22307053056 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 2307053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901064320).

2307053056 is an abundant number, since it is smaller than the sum of its proper divisors (3495075584).

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

2307053056 is a wasteful number, since it uses less digits than its factorization.

2307053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 2307053056 is about 48031.7921381245. The cubic root of 2307053056 is about 1321.3540314602.

The spelling of 2307053056 in words is "two billion, three hundred seven million, fifty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 139 154 176 224 256 278 308 352 421 448 512 556 616 704 842 896 973 1112 1232 1408 1529 1684 1792 1946 2224 2464 2816 2947 3058 3368 3584 3892 4448 4631 4928 5632 5894 6116 6736 7784 8896 9262 9856 10703 11788 12232 13472 15568 17792 18524 19712 21406 23576 24464 26944 31136 32417 35584 37048 39424 42812 47152 48928 53888 58519 62272 64834 71168 74096 85624 94304 97856 107776 117038 124544 129668 148192 171248 188608 195712 215552 234076 249088 259336 296384 342496 377216 391424 409633 468152 498176 518672 592768 643709 684992 754432 782848 819266 936304 1037344 1185536 1287418 1369984 1508864 1638532 1872608 2074688 2371072 2574836 2739968 3277064 3745216 4149376 4505963 5149672 5479936 6554128 7490432 8298752 9011926 10299344 13108256 14980864 16597504 18023852 20598688 26216512 29961728 36047704 41197376 52433024 72095408 82394752 104866048 144190816 164789504 209732096 288381632 329579008 576763264 1153526528 2307053056