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146320544 = 252925437
BaseRepresentation
bin10001011100010…
…10110010100000
3101012022212001102
420232022302200
5244424224134
622304053532
73424463336
oct1056126240
9335285042
10146320544
1175659877
12410042a8
1324411206
141560bb56
15cca437e
hex8b8aca0

146320544 has 36 divisors (see below), whose sum is σ = 298399374. Its totient is φ = 70624512.

The previous prime is 146320511. The next prime is 146320553. The reversal of 146320544 is 445023641.

146320544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 130416400 + 15904144 = 11420^2 + 3988^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 24194 + ... + 29630.

Almost surely, 2146320544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146320544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149199687).

146320544 is an abundant number, since it is smaller than the sum of its proper divisors (152078830).

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

146320544 is an equidigital number, since it uses as much as digits as its factorization.

146320544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 146320544 is about 12096.3029062602. The cubic root of 146320544 is about 526.9488192432.

The spelling of 146320544 in words is "one hundred forty-six million, three hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 5437 6728 10874 13456 21748 26912 43496 86992 157673 173984 315346 630692 1261384 2522768 4572517 5045536 9145034 18290068 36580136 73160272 146320544