Search a number
-
+
100473072 = 2437299027
BaseRepresentation
bin1011111110100…
…01100011110000
321000001120010220
411333101203300
5201210114242
613545253040
72330002260
oct577214360
9230046126
10100473072
11517949a7
1229794180
1317a7ac2b
14d4b57a0
158c49bec
hex5fd18f0

100473072 has 40 divisors (see below), whose sum is σ = 296635776. Its totient is φ = 28706496.

The previous prime is 100473059. The next prime is 100473073. The reversal of 100473072 is 270374001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100473073) 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, 149178 + ... + 149849.

Almost surely, 2100473072 is an apocalyptic number.

100473072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100473072 is an abundant number, since it is smaller than the sum of its proper divisors (196162704).

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

100473072 is a wasteful number, since it uses less digits than its factorization.

100473072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299045 (or 299039 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 100473072 is about 10023.6256913354. The cubic root of 100473072 is about 464.8896674292.

The spelling of 100473072 in words is "one hundred million, four hundred seventy-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 299027 598054 897081 1196108 1794162 2093189 2392216 3588324 4186378 4784432 6279567 7176648 8372756 12559134 14353296 16745512 25118268 33491024 50236536 100473072