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147133040 = 24517310631
BaseRepresentation
bin10001100010100…
…01001001110000
3101020212010120212
420301101021300
5300131224130
622333323252
73434416205
oct1061211160
9336763525
10147133040
117606425a
1241336528
1324636c92
141577dcac
15cdb4e95
hex8c51270

147133040 has 40 divisors (see below), whose sum is σ = 344094048. Its totient is φ = 58507520.

The previous prime is 147133039. The next prime is 147133073. The reversal of 147133040 is 40331741.

147133040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 147132997 and 147133015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8525 + ... + 19155.

Almost surely, 2147133040 is an apocalyptic number.

147133040 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 147133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172047024).

147133040 is an abundant number, since it is smaller than the sum of its proper divisors (196961008).

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

147133040 is a wasteful number, since it uses less digits than its factorization.

147133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10817 (or 10811 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 147133040 is about 12129.8408893110. The cubic root of 147133040 is about 527.9223753347.

Adding to 147133040 its reverse (40331741), we get a palindrome (187464781).

The spelling of 147133040 in words is "one hundred forty-seven million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 10631 13840 21262 42524 53155 85048 106310 170096 212620 425240 850480 1839163 3678326 7356652 9195815 14713304 18391630 29426608 36783260 73566520 147133040