Search a number
-
+
131769300 = 2235213223113
BaseRepresentation
bin1111101101010…
…10001111010100
3100011221120111110
413312222033110
5232213104200
621024135020
73160010025
oct766521724
9304846443
10131769300
1168420253
1238167470
13213b7c00
1413700c4c
15b87cb50
hex7daa3d4

131769300 has 216 divisors, whose sum is σ = 434597184. Its totient is φ = 30750720.

The previous prime is 131769299. The next prime is 131769311. The reversal of 131769300 is 3967131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1166044 + ... + 1166156.

It is an arithmetic number, because the mean of its divisors is an integer number (2012024).

Almost surely, 2131769300 is an apocalyptic number.

131769300 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 131769300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217298592).

131769300 is an abundant number, since it is smaller than the sum of its proper divisors (302827884).

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

131769300 is a wasteful number, since it uses less digits than its factorization.

131769300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 131769300 is about 11479.0809736668. The cubic root of 131769300 is about 508.8675371910.

The spelling of 131769300 in words is "one hundred thirty-one million, seven hundred sixty-nine thousand, three hundred".