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146069264 = 24113193
BaseRepresentation
bin10001011010011…
…01011100010000
3101011212002100202
420231031130100
5244343204024
622254434332
73422365625
oct1055153420
9334762322
10146069264
11754a8000
1240b029a8
1324353a23
141558434c
15cc54bae
hex8b4d710

146069264 has 80 divisors (see below), whose sum is σ = 328580160. Its totient is φ = 62900640.

The previous prime is 146069249. The next prime is 146069269. The reversal of 146069264 is 462960641.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (146069269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7687847 + ... + 7687865.

It is an arithmetic number, because the mean of its divisors is an integer number (4107252).

Almost surely, 2146069264 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 146069264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164290080).

146069264 is an abundant number, since it is smaller than the sum of its proper divisors (182510896).

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

146069264 is an frugal number, since it uses more digits than its factorization.

146069264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 146069264 is about 12085.9117984536. The cubic root of 146069264 is about 526.6469988561.

The spelling of 146069264 in words is "one hundred forty-six million, sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 361 418 484 722 836 968 1331 1444 1672 1936 2299 2662 2888 3344 3971 4598 5324 5776 6859 7942 9196 10648 13718 15884 18392 21296 25289 27436 31768 36784 43681 50578 54872 63536 75449 87362 101156 109744 150898 174724 202312 301796 349448 404624 480491 603592 698896 829939 960982 1207184 1659878 1921964 3319756 3843928 6639512 7687856 9129329 13279024 18258658 36517316 73034632 146069264