Search a number
-
+
146604540 = 22352443409
BaseRepresentation
bin10001011110100…
…00000111111100
3101012212021121210
420233100013330
5300012321130
622314124420
73430055325
oct1057200774
9335767553
10146604540
1175833185
1241120710
13244b0564
141568344c
15cd0d5b0
hex8bd01fc

146604540 has 24 divisors (see below), whose sum is σ = 410492880. Its totient is φ = 39094528.

The previous prime is 146604517. The next prime is 146604547. The reversal of 146604540 is 45406641.

146604540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1466045402 = 42985782297223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146604498 and 146604507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146604547) 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, 1221645 + ... + 1221764.

It is an arithmetic number, because the mean of its divisors is an integer number (17103870).

Almost surely, 2146604540 is an apocalyptic number.

146604540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146604540 is an abundant number, since it is smaller than the sum of its proper divisors (263888340).

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

146604540 is a wasteful number, since it uses less digits than its factorization.

146604540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443421 (or 2443419 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 146604540 is about 12108.0361743761. The cubic root of 146604540 is about 527.2895201836.

The spelling of 146604540 in words is "one hundred forty-six million, six hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2443409 4886818 7330227 9773636 12217045 14660454 24434090 29320908 36651135 48868180 73302270 146604540