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145500120 = 23325404167
BaseRepresentation
bin10001010110000…
…10011111011000
3101010210011122100
420223002133120
5244222000440
622234323400
73414505413
oct1053023730
9333704570
10145500120
1175149437
1240889560
13241b495c
1415476b7a
15cb91230
hex8ac27d8

145500120 has 48 divisors (see below), whose sum is σ = 472876560. Its totient is φ = 38799936.

The previous prime is 145500107. The next prime is 145500133. The reversal of 145500120 is 21005541.

145500120 is a `hidden beast` number, since 1 + 45 + 500 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (145500107) and next prime (145500133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 145500093 and 145500102.

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 11 ways as a sum of consecutive naturals, for example, 201724 + ... + 202443.

It is an arithmetic number, because the mean of its divisors is an integer number (9851595).

Almost surely, 2145500120 is an apocalyptic number.

145500120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145500120 is an abundant number, since it is smaller than the sum of its proper divisors (327376440).

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

145500120 is a wasteful number, since it uses less digits than its factorization.

145500120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404184 (or 404177 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 145500120 is about 12062.3430559738. The cubic root of 145500120 is about 525.9620997525.

Adding to 145500120 its reverse (21005541), we get a palindrome (166505661).

The spelling of 145500120 in words is "one hundred forty-five million, five hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 404167 808334 1212501 1616668 2020835 2425002 3233336 3637503 4041670 4850004 6062505 7275006 8083340 9700008 12125010 14550012 16166680 18187515 24250020 29100024 36375030 48500040 72750060 145500120