Search a number
-
+
146130465 = 35133072441
BaseRepresentation
bin10001011010111…
…00011000100001
3101011222012022110
420231130120201
5244402133330
622300025533
73423042225
oct1055343041
9334865273
10146130465
1175539a88
1240b322a9
1324375840
141559c785
15cc67db0
hex8b5c621

146130465 has 32 divisors (see below), whose sum is σ = 252717696. Its totient is φ = 71677440.

The previous prime is 146130421. The next prime is 146130493. The reversal of 146130465 is 564031641.

It is not a de Polignac number, because 146130465 - 211 = 146128417 is a prime.

It is a super-2 number, since 2×1461304652 = 42708225602232450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58645 + ... + 61085.

It is an arithmetic number, because the mean of its divisors is an integer number (7897428).

Almost surely, 2146130465 is an apocalyptic number.

146130465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146130465 is a deficient number, since it is larger than the sum of its proper divisors (106587231).

146130465 is a wasteful number, since it uses less digits than its factorization.

146130465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 146130465 is about 12088.4434481864. The cubic root of 146130465 is about 526.7205411872.

The spelling of 146130465 in words is "one hundred forty-six million, one hundred thirty thousand, four hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 195 307 921 1535 2441 3991 4605 7323 11973 12205 19955 31733 36615 59865 95199 158665 475995 749387 2248161 3746935 9742031 11240805 29226093 48710155 146130465