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146799540 = 2234590617
BaseRepresentation
bin10001011111111…
…11101110110100
3101020020012010000
420233333232310
5300040041130
622322231300
73431526666
oct1057775664
9336205100
10146799540
1175956738
12411b5530
132454b244
14156d4536
15cd4b260
hex8bffbb4

146799540 has 60 divisors (see below), whose sum is σ = 460520676. Its totient is φ = 39146112.

The previous prime is 146799533. The next prime is 146799563. The reversal of 146799540 is 45997641.

146799540 is a `hidden beast` number, since 14 + 6 + 7 + 99 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115863696 + 30935844 = 10764^2 + 5562^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43689 + ... + 46928.

Almost surely, 2146799540 is an apocalyptic number.

146799540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146799540 is an abundant number, since it is smaller than the sum of its proper divisors (313721136).

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

146799540 is a wasteful number, since it uses less digits than its factorization.

146799540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90638 (or 90627 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 146799540 is about 12116.0860016756. The cubic root of 146799540 is about 527.5232007645.

The spelling of 146799540 in words is "one hundred forty-six million, seven hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 90617 181234 271851 362468 453085 543702 815553 906170 1087404 1359255 1631106 1812340 2446659 2718510 3262212 4077765 4893318 5437020 7339977 8155530 9786636 12233295 14679954 16311060 24466590 29359908 36699885 48933180 73399770 146799540