Search a number
-
+
102172272 = 24319112031
BaseRepresentation
bin1100001011100…
…00011001110000
321010020220000020
412011300121300
5202124003042
614045523440
72350310226
oct605603160
9233226006
10102172272
11527455a4
122a273580
1318224487
14d7d8b16
158e833ec
hex6170670

102172272 has 40 divisors (see below), whose sum is σ = 277839360. Its totient is φ = 32264640.

The previous prime is 102172241. The next prime is 102172283. The reversal of 102172272 is 272271201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55104 + ... + 56927.

It is an arithmetic number, because the mean of its divisors is an integer number (6945984).

Almost surely, 2102172272 is an apocalyptic number.

102172272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102172272 is an abundant number, since it is smaller than the sum of its proper divisors (175667088).

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

102172272 is a wasteful number, since it uses less digits than its factorization.

102172272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112061 (or 112055 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 102172272 is about 10108.0300751432. The cubic root of 102172272 is about 467.4957678323.

The spelling of 102172272 in words is "one hundred two million, one hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 112031 224062 336093 448124 672186 896248 1344372 1792496 2128589 2688744 4257178 5377488 6385767 8514356 12771534 17028712 25543068 34057424 51086136 102172272