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145695420 = 22325131929113
BaseRepresentation
bin10001010111100…
…10001010111100
3101011011002112200
420223302022330
5244244223140
622242431500
73416250663
oct1053621274
9334132480
10145695420
1175272142
1240962590
1324252810
14154c7dda
15cbce030
hex8af22bc

145695420 has 288 divisors, whose sum is σ = 522849600. Its totient is φ = 32514048.

The previous prime is 145695397. The next prime is 145695467. The reversal of 145695420 is 24596541.

145695420 is a `hidden beast` number, since 145 + 6 + 95 + 420 = 666.

145695420 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1289284 + ... + 1289396.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2145695420 is an apocalyptic number.

145695420 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 145695420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

145695420 is an abundant number, since it is smaller than the sum of its proper divisors (377154180).

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

145695420 is a wasteful number, since it uses less digits than its factorization.

145695420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 145695420 is about 12070.4357833510. The cubic root of 145695420 is about 526.1973217187.

The spelling of 145695420 in words is "one hundred forty-five million, six hundred ninety-five thousand, four hundred twenty".