Search a number
-
+
102120320 = 275159563
BaseRepresentation
bin1100001011000…
…11101110000000
321010011020202002
412011203232000
5202120322240
614044443132
72350002611
oct605435600
9233136662
10102120320
115270a565
122a2494a8
1318206933
14d7c3c08
158e72d15
hex6163b80

102120320 has 32 divisors (see below), whose sum is σ = 244132920. Its totient is φ = 40847872.

The previous prime is 102120311. The next prime is 102120323. The reversal of 102120320 is 23021201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120323) by changing a digit.

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, 79142 + ... + 80421.

Almost surely, 2102120320 is an apocalyptic number.

102120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120320 is an abundant number, since it is smaller than the sum of its proper divisors (142012600).

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

102120320 is an equidigital number, since it uses as much as digits as its factorization.

102120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159582 (or 159570 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102120320 is about 10105.4599103653. The cubic root of 102120320 is about 467.4165178319.

Adding to 102120320 its reverse (23021201), we get a palindrome (125141521).

The spelling of 102120320 in words is "one hundred two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 159563 319126 638252 797815 1276504 1595630 2553008 3191260 5106016 6382520 10212032 12765040 20424064 25530080 51060160 102120320