Search a number
-
+
133710120 = 23325371417
BaseRepresentation
bin1111111100001…
…00000100101000
3100022121011210200
413332010010220
5233212210440
621133512200
73212342265
oct776040450
9308534720
10133710120
1169526435
1238942660
132191741b
1413a8826c
15bb12c30
hex7f84128

133710120 has 48 divisors (see below), whose sum is σ = 434559060. Its totient is φ = 35655936.

The previous prime is 133710113. The next prime is 133710121. The reversal of 133710120 is 21017331.

It can be written as a sum of positive squares in 2 ways, for example, as 133679844 + 30276 = 11562^2 + 174^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133710093 and 133710102.

It is not an unprimeable number, because it can be changed into a prime (133710121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185349 + ... + 186068.

Almost surely, 2133710120 is an apocalyptic number.

133710120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133710120 is an abundant number, since it is smaller than the sum of its proper divisors (300848940).

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

133710120 is a wasteful number, since it uses less digits than its factorization.

133710120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371434 (or 371427 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 133710120 is about 11563.3092149263. The cubic root of 133710120 is about 511.3537276356.

Adding to 133710120 its reverse (21017331), we get a palindrome (154727451).

The spelling of 133710120 in words is "one hundred thirty-three million, seven hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 371417 742834 1114251 1485668 1857085 2228502 2971336 3342753 3714170 4457004 5571255 6685506 7428340 8914008 11142510 13371012 14856680 16713765 22285020 26742024 33427530 44570040 66855060 133710120