Search a number
-
+
100160130 = 23574111633
BaseRepresentation
bin1011111100001…
…01001010000010
320222110122212110
411332011022002
5201120111010
613534440150
72324230020
oct576051202
9228418773
10100160130
11515a0874
1229663056
131799b665
14d433710
158bd7120
hex5f85282

100160130 has 64 divisors (see below), whose sum is σ = 281449728. Its totient is φ = 22333440.

The previous prime is 100160069. The next prime is 100160143. The reversal of 100160130 is 31061001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2794 + ... + 14426.

It is an arithmetic number, because the mean of its divisors is an integer number (4397652).

Almost surely, 2100160130 is an apocalyptic number.

100160130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100160130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140724864).

100160130 is an abundant number, since it is smaller than the sum of its proper divisors (181289598).

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

100160130 is a wasteful number, since it uses less digits than its factorization.

100160130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100160130 is about 10008.0032973616. The cubic root of 100160130 is about 464.4065037767.

The spelling of 100160130 in words is "one hundred million, one hundred sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2870 4305 8610 11633 23266 34899 58165 69798 81431 116330 162862 174495 244293 348990 407155 476953 488586 814310 953906 1221465 1430859 2384765 2442930 2861718 3338671 4769530 6677342 7154295 10016013 14308590 16693355 20032026 33386710 50080065 100160130