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146546040 = 23357316729
BaseRepresentation
bin10001011110000…
…01110101111000
3101012202022101010
420233001311320
5300003433130
622312553520
73426422634
oct1057016570
9335668333
10146546040
11757a3233
12410b28a0
132448ca44
1415669dc4
15cceb0b0
hex8bc1d78

146546040 has 64 divisors (see below), whose sum is σ = 445687200. Its totient is φ = 38541312.

The previous prime is 146546033. The next prime is 146546053. The reversal of 146546040 is 40645641.

146546040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 146545989 and 146546007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396 + ... + 17124.

Almost surely, 2146546040 is an apocalyptic number.

146546040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146546040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222843600).

146546040 is an abundant number, since it is smaller than the sum of its proper divisors (299141160).

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

146546040 is a wasteful number, since it uses less digits than its factorization.

146546040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16816 (or 16812 counting only the distinct ones).

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

The square root of 146546040 is about 12105.6201823781. The cubic root of 146546040 is about 527.2193756057.

The spelling of 146546040 in words is "one hundred forty-six million, five hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 16729 33458 50187 66916 83645 100374 133832 167290 200748 250935 334580 401496 501870 669160 1003740 1221217 2007480 2442434 3663651 4884868 6106085 7327302 9769736 12212170 14654604 18318255 24424340 29309208 36636510 48848680 73273020 146546040