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2115857136 = 243313738431
BaseRepresentation
bin111111000011101…
…0110101011110000
312110110100200100010
41332013112223300
513313124412021
6545542054520
7103301326461
oct17607265360
95413320303
102115857136
11996389868
124b071a440
13279480693
14161016d68
15c5b4a976
hex7e1d6af0

2115857136 has 80 divisors (see below), whose sum is σ = 5794930688. Its totient is φ = 664070400.

The previous prime is 2115857131. The next prime is 2115857153. The reversal of 2115857136 is 6317585112.

It is a junction number, because it is equal to n+sod(n) for n = 2115857094 and 2115857103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115857131) 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, 35841 + ... + 74271.

Almost surely, 22115857136 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 2115857136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897465344).

2115857136 is an abundant number, since it is smaller than the sum of its proper divisors (3679073552).

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

2115857136 is a wasteful number, since it uses less digits than its factorization.

2115857136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38510 (or 38504 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 2115857136 is about 45998.4471042230. The cubic root of 2115857136 is about 1283.7943110506.

The spelling of 2115857136 in words is "two billion, one hundred fifteen million, eight hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 592 744 888 1147 1488 1776 2294 3441 4588 6882 9176 13764 18352 27528 38431 55056 76862 115293 153724 230586 307448 461172 614896 922344 1191361 1421947 1844688 2382722 2843894 3574083 4265841 4765444 5687788 7148166 8531682 9530888 11375576 14296332 17063364 19061776 22751152 28592664 34126728 44080357 57185328 68253456 88160714 132241071 176321428 264482142 352642856 528964284 705285712 1057928568 2115857136