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102420096 = 273266719
BaseRepresentation
bin1100001101011…
…00111010000000
321010201110221220
412012230322000
5202204420341
614055115040
72352361602
oct606547200
9233643856
10102420096
11528a4809
122a372a80
13182b020c
14d861172
158ed1a66
hex61ace80

102420096 has 32 divisors (see below), whose sum is σ = 272054400. Its totient is φ = 34139904.

The previous prime is 102420077. The next prime is 102420119. The reversal of 102420096 is 690024201.

It is a tau number, because it is divible by the number of its divisors (32).

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

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 3 ways as a sum of consecutive naturals, for example, 132976 + ... + 133743.

It is an arithmetic number, because the mean of its divisors is an integer number (8501700).

Almost surely, 2102420096 is an apocalyptic number.

102420096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102420096 is an abundant number, since it is smaller than the sum of its proper divisors (169634304).

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

102420096 is an equidigital number, since it uses as much as digits as its factorization.

102420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266736 (or 266724 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102420096 is about 10120.2814190120. The cubic root of 102420096 is about 467.8734408312.

Adding to 102420096 its reverse (690024201), we get a palindrome (792444297).

The spelling of 102420096 in words is "one hundred two million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 266719 533438 800157 1066876 1600314 2133752 3200628 4267504 6401256 8535008 12802512 17070016 25605024 34140032 51210048 102420096