Search a number
-
+
101396448 = 253439119
BaseRepresentation
bin1100000101100…
…10111111100000
321001210110210000
412002302333200
5201424141243
614021140000
72340566316
oct602627740
9231713700
10101396448
115226571a
1229b5a600
13180122ca
14d6760b6
158d7d5d3
hex60b2fe0

101396448 has 60 divisors (see below), whose sum is σ = 298211760. Its totient is φ = 33797952.

The previous prime is 101396413. The next prime is 101396453. The reversal of 101396448 is 844693101.

101396448 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 9 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 9 ways as a sum of consecutive naturals, for example, 16968 + ... + 22151.

It is an arithmetic number, because the mean of its divisors is an integer number (4970196).

Almost surely, 2101396448 is an apocalyptic number.

101396448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101396448 is an abundant number, since it is smaller than the sum of its proper divisors (196815312).

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

101396448 is an equidigital number, since it uses as much as digits as its factorization.

101396448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39141 (or 39124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 101396448 is about 10069.5803288916. The cubic root of 101396448 is about 466.3094826923.

It can be divided in two parts, 1013 and 96448, that added together give a triangular number (97461 = T441).

The spelling of 101396448 in words is "one hundred one million, three hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 39119 78238 117357 156476 234714 312952 352071 469428 625904 704142 938856 1056213 1251808 1408284 1877712 2112426 2816568 3168639 3755424 4224852 5633136 6337278 8449704 11266272 12674556 16899408 25349112 33798816 50698224 101396448