Search a number
-
+
100090592 = 257736121
BaseRepresentation
bin1011111011101…
…00001011100000
320222100010110222
411331310023200
5201110344332
613533142212
72323520210
oct575641340
9228303428
10100090592
11515535a8
122962a968
1317975b04
14d416240
158bc1712
hex5f742e0

100090592 has 48 divisors (see below), whose sum is σ = 228326112. Its totient is φ = 42301440.

The previous prime is 100090583. The next prime is 100090597. The reversal of 100090592 is 295090001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100090597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13292 + ... + 19412.

It is an arithmetic number, because the mean of its divisors is an integer number (4756794).

Almost surely, 2100090592 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 100090592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114163056).

100090592 is an abundant number, since it is smaller than the sum of its proper divisors (128235520).

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

100090592 is an equidigital number, since it uses as much as digits as its factorization.

100090592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 100090592 is about 10004.5285746006. The cubic root of 100090592 is about 464.2990046621.

The spelling of 100090592 in words is "one hundred million, ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 6121 8176 12242 16352 24484 42847 48968 85694 97936 171388 195872 342776 446833 685552 893666 1371104 1787332 3127831 3574664 6255662 7149328 12511324 14298656 25022648 50045296 100090592