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146130948 = 22324059193
BaseRepresentation
bin10001011010111…
…00100000000100
3101011222012222100
420231130200010
5244402142243
622300032100
73423043515
oct1055344004
9334865870
10146130948
117553a387
1240b32630
1324375b22
141559ca0c
15cc680d3
hex8b5c804

146130948 has 18 divisors (see below), whose sum is σ = 369386654. Its totient is φ = 48710304.

The previous prime is 146130923. The next prime is 146130949. The reversal of 146130948 is 849031641.

It can be written as a sum of positive squares in only one way, i.e., 140138244 + 5992704 = 11838^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4059193 = 146130948 / (1 + 4 + 6 + 1 + 3 + 0 + 9 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (146130949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2029561 + ... + 2029632.

Almost surely, 2146130948 is an apocalyptic number.

146130948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146130948 is an abundant number, since it is smaller than the sum of its proper divisors (223255706).

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

146130948 is a wasteful number, since it uses less digits than its factorization.

146130948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059203 (or 4059198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 146130948 is about 12088.4634259280. The cubic root of 146130948 is about 526.7211215036.

The spelling of 146130948 in words is "one hundred forty-six million, one hundred thirty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4059193 8118386 12177579 16236772 24355158 36532737 48710316 73065474 146130948