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130921200 = 24325241887
BaseRepresentation
bin1111100110110…
…11001011110000
3100010100111010100
413303123023300
5232003434300
620554032400
73146545314
oct763331360
9303314110
10130921200
11679a1043
1237a18700
132117bb87
141355db44
15b761700
hex7cdb2f0

130921200 has 180 divisors, whose sum is σ = 465938928. Its totient is φ = 34022400.

The previous prime is 130921187. The next prime is 130921211. The reversal of 130921200 is 2129031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147157 + ... + 148043.

Almost surely, 2130921200 is an apocalyptic number.

130921200 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 130921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232969464).

130921200 is an abundant number, since it is smaller than the sum of its proper divisors (335017728).

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

130921200 is a wasteful number, since it uses less digits than its factorization.

130921200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130921200 is about 11442.0802304476. The cubic root of 130921200 is about 507.7734538656.

The spelling of 130921200 in words is "one hundred thirty million, nine hundred twenty-one thousand, two hundred".