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102420120 = 23351177591
BaseRepresentation
bin1100001101011…
…00111010011000
321010201110222210
412012230322120
5202204420440
614055115120
72352361635
oct606547230
9233643883
10102420120
11528a4830
122a372aa0
13182b022a
14d86118c
158ed1a80
hex61ace98

102420120 has 64 divisors (see below), whose sum is σ = 335197440. Its totient is φ = 24828800.

The previous prime is 102420119. The next prime is 102420133. The reversal of 102420120 is 21024201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102420096 and 102420105.

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 15 ways as a sum of consecutive naturals, for example, 37476 + ... + 40115.

It is an arithmetic number, because the mean of its divisors is an integer number (5237460).

Almost surely, 2102420120 is an apocalyptic number.

102420120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102420120 is an abundant number, since it is smaller than the sum of its proper divisors (232777320).

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

102420120 is a wasteful number, since it uses less digits than its factorization.

102420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77616 (or 77612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102420120 is about 10120.2826047497. The cubic root of 102420120 is about 467.8734773766.

Adding to 102420120 its reverse (21024201), we get a palindrome (123444321).

The spelling of 102420120 in words is "one hundred two million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 77591 155182 232773 310364 387955 465546 620728 775910 853501 931092 1163865 1551820 1707002 1862184 2327730 2560503 3103640 3414004 4267505 4655460 5121006 6828008 8535010 9310920 10242012 12802515 17070020 20484024 25605030 34140040 51210060 102420120