Search a number
-
+
100131640 = 2357357613
BaseRepresentation
bin1011111011111…
…10001100111000
320222102012210021
411331332030320
5201113203030
613534100224
72324050660
oct575761470
9228365707
10100131640
1151581424
122964a674
131798b6bb
14d4271a0
158bcd97a
hex5f7e338

100131640 has 32 divisors (see below), whose sum is σ = 257482080. Its totient is φ = 34330752.

The previous prime is 100131637. The next prime is 100131659. The reversal of 100131640 is 46131001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178527 + ... + 179086.

It is an arithmetic number, because the mean of its divisors is an integer number (8046315).

Almost surely, 2100131640 is an apocalyptic number.

100131640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131640 is an abundant number, since it is smaller than the sum of its proper divisors (157350440).

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

100131640 is a wasteful number, since it uses less digits than its factorization.

100131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357631 (or 357627 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 100131640 is about 10006.5798352884. The cubic root of 100131640 is about 464.3624669729.

Adding to 100131640 its reverse (46131001), we get a palindrome (146262641).

The spelling of 100131640 in words is "one hundred million, one hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 357613 715226 1430452 1788065 2503291 2860904 3576130 5006582 7152260 10013164 12516455 14304520 20026328 25032910 50065820 100131640