Search a number
-
+
130333632 = 263111347101
BaseRepresentation
bin1111100010010…
…11101111000000
3100002020122010120
413301023233000
5231331134012
620533300240
73141550302
oct761135700
9302218116
10130333632
116762a650
1237794680
13210045c0
1413449972
15b69758c
hex7c4bbc0

130333632 has 224 divisors, whose sum is σ = 417844224. Its totient is φ = 35328000.

The previous prime is 130333607. The next prime is 130333633. The reversal of 130333632 is 236333031.

It is a happy number.

It is a super-2 number, since 2×1303336322 = 33973711260622848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130333633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290382 + ... + 1290482.

It is an arithmetic number, because the mean of its divisors is an integer number (1865376).

Almost surely, 2130333632 is an apocalyptic number.

130333632 is a gapful number since it is divisible by the number (12) 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 130333632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208922112).

130333632 is an abundant number, since it is smaller than the sum of its proper divisors (287510592).

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

130333632 is a wasteful number, since it uses less digits than its factorization.

130333632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

The square root of 130333632 is about 11416.3756069954. The cubic root of 130333632 is about 507.0126937600.

Adding to 130333632 its reverse (236333031), we get a palindrome (366666663).

The spelling of 130333632 in words is "one hundred thirty million, three hundred thirty-three thousand, six hundred thirty-two".