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2090100834 = 23519322283
BaseRepresentation
bin111110010010100…
…0110100001100010
312101122220010100000
41330211012201202
513240031211314
6543222040430
7102536364303
oct17445064142
95348803300
102090100834
11982897768
124a3b79116
13274033173
1415b8307aa
15c375e209
hex7c946862

2090100834 has 48 divisors (see below), whose sum is σ = 4720820832. Its totient is φ = 693059328.

The previous prime is 2090100811. The next prime is 2090100841. The reversal of 2090100834 is 4380010902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2090100798 and 2090100807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82657 + ... + 104939.

It is an arithmetic number, because the mean of its divisors is an integer number (98350434).

Almost surely, 22090100834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090100834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360410416).

2090100834 is an abundant number, since it is smaller than the sum of its proper divisors (2630719998).

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

2090100834 is a wasteful number, since it uses less digits than its factorization.

2090100834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22493 (or 22481 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2090100834 is about 45717.6206073763. The cubic root of 2090100834 is about 1278.5638258041.

The spelling of 2090100834 in words is "two billion, ninety million, one hundred thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 243 386 486 579 1158 1737 3474 5211 10422 15633 22283 31266 44566 46899 66849 93798 133698 200547 401094 601641 1203282 1804923 3609846 4300619 5414769 8601238 10829538 12901857 25803714 38705571 77411142 116116713 232233426 348350139 696700278 1045050417 2090100834