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146053024 = 25131093221
BaseRepresentation
bin10001011010010…
…01011110100000
3101011211021002021
420231021132200
5244342144044
622254231224
73422300365
oct1055113640
9334737067
10146053024
1175496887
1240ab5514
1324349510
141557c46c
15cc4ee84
hex8b497a0

146053024 has 48 divisors (see below), whose sum is σ = 312598440. Its totient is φ = 66769920.

The previous prime is 146053009. The next prime is 146053027. The reversal of 146053024 is 420350641.

It can be written as a sum of positive squares in 4 ways, for example, as 129504400 + 16548624 = 11380^2 + 4068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146053024.

It is not an unprimeable number, because it can be changed into a prime (146053027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43734 + ... + 46954.

Almost surely, 2146053024 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 146053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156299220).

146053024 is an abundant number, since it is smaller than the sum of its proper divisors (166545416).

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

146053024 is a wasteful number, since it uses less digits than its factorization.

146053024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 146053024 is about 12085.2399231459. The cubic root of 146053024 is about 526.6274805718.

The spelling of 146053024 in words is "one hundred forty-six million, fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1417 1744 2834 3221 3488 5668 6442 11336 12884 22672 25768 41873 45344 51536 83746 103072 167492 334984 351089 669968 702178 1339936 1404356 2808712 4564157 5617424 9128314 11234848 18256628 36513256 73026512 146053024