Search a number
-
+
100413672 = 2334183903
BaseRepresentation
bin1011111110000…
…11000011101000
320222221112122220
411333003003220
5201201214142
613544114040
72326334142
oct577030350
9228845586
10100413672
1151754307
1229765920
1317a59b98
14d49bc92
158c372ec
hex5fc30e8

100413672 has 16 divisors (see below), whose sum is σ = 251034240. Its totient is φ = 33471216.

The previous prime is 100413659. The next prime is 100413683. The reversal of 100413672 is 276314001.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4183903 = 100413672 / (1 + 0 + 0 + 4 + 1 + 3 + 6 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2091928 + ... + 2091975.

It is an arithmetic number, because the mean of its divisors is an integer number (15689640).

Almost surely, 2100413672 is an apocalyptic number.

100413672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100413672 is an abundant number, since it is smaller than the sum of its proper divisors (150620568).

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

100413672 is a wasteful number, since it uses less digits than its factorization.

100413672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183912 (or 4183908 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 100413672 is about 10020.6622535639. The cubic root of 100413672 is about 464.7980346185.

Adding to 100413672 its reverse (276314001), we get a palindrome (376727673).

The spelling of 100413672 in words is "one hundred million, four hundred thirteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 4183903 8367806 12551709 16735612 25103418 33471224 50206836 100413672