Search a number
-
+
375211980 = 22335111343113
BaseRepresentation
bin10110010111010…
…100011111001100
3222011000202002000
4112113110133030
51232023240410
6101122032300
712204151323
oct2627243714
9864022060
10375211980
11182885350
12a57a8690
135c972a30
1437b910ba
1522e18dc0
hex165d47cc

375211980 has 384 divisors, whose sum is σ = 1415715840. Its totient is φ = 81285120.

The previous prime is 375211979. The next prime is 375211987. The reversal of 375211980 is 89112573.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (375211987) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3320404 + ... + 3320516.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 2375211980 is an apocalyptic number.

375211980 is a gapful number since it is divisible by the number (30) 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 375211980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707857920).

375211980 is an abundant number, since it is smaller than the sum of its proper divisors (1040503860).

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

375211980 is a wasteful number, since it uses less digits than its factorization.

375211980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 375211980 is about 19370.3892578337. The cubic root of 375211980 is about 721.2606386980.

The spelling of 375211980 in words is "three hundred seventy-five million, two hundred eleven thousand, nine hundred eighty".