Search a number
-
+
100140408 = 2333463613
BaseRepresentation
bin1011111100000…
…00010101111000
320222102122211000
411332000111320
5201113443113
613534205000
72324115354
oct576002570
9228378730
10100140408
1151587a75
1229653760
13179926a4
14d42a464
158bd1373
hex5f80578

100140408 has 32 divisors (see below), whose sum is σ = 278168400. Its totient is φ = 33380064.

The previous prime is 100140377. The next prime is 100140427. The reversal of 100140408 is 804041001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231591 + ... + 232022.

Almost surely, 2100140408 is an apocalyptic number.

100140408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100140408 is an abundant number, since it is smaller than the sum of its proper divisors (178027992).

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

100140408 is a wasteful number, since it uses less digits than its factorization.

100140408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463628 (or 463618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100140408 is about 10007.0179374277. The cubic root of 100140408 is about 464.3760205020.

Adding to 100140408 its reverse (804041001), we get a palindrome (904181409).

The spelling of 100140408 in words is "one hundred million, one hundred forty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 463613 927226 1390839 1854452 2781678 3708904 4172517 5563356 8345034 11126712 12517551 16690068 25035102 33380136 50070204 100140408