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145488420 = 223357113499
BaseRepresentation
bin10001010101111…
…11101000100100
3101010202120121000
420222333220210
5244221112140
622234153300
73414426330
oct1052775044
9333676530
10145488420
1175140670
1240882830
13241ac52c
14154727c0
15cb8ca30
hex8abfa24

145488420 has 192 divisors, whose sum is σ = 564480000. Its totient is φ = 30222720.

The previous prime is 145488419. The next prime is 145488437. The reversal of 145488420 is 24884541.

145488420 is a `hidden beast` number, since 14 + 548 + 84 + 20 = 666.

145488420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39831 + ... + 43329.

It is an arithmetic number, because the mean of its divisors is an integer number (2940000).

Almost surely, 2145488420 is an apocalyptic number.

145488420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145488420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240000).

145488420 is an abundant number, since it is smaller than the sum of its proper divisors (418991580).

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

145488420 is a wasteful number, since it uses less digits than its factorization.

145488420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 145488420 is about 12061.8580658205. The cubic root of 145488420 is about 525.9480014330.

The spelling of 145488420 in words is "one hundred forty-five million, four hundred eighty-eight thousand, four hundred twenty".