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372140496 = 243272134057
BaseRepresentation
bin10110001011100…
…110100111010000
3221221020200210100
4112023212213100
51230231443441
6100532132400
712136066500
oct2613464720
9857220710
10372140496
11181077732
12a4767100
135c1389a0
14375d1a00
1522a0dcb6
hex162e69d0

372140496 has 180 divisors, whose sum is σ = 1305028452. Its totient is φ = 98122752.

The previous prime is 372140471. The next prime is 372140513. The reversal of 372140496 is 694041273.

It can be written as a sum of positive squares in 2 ways, for example, as 117418896 + 254721600 = 10836^2 + 15960^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 372140496.

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, 89700 + ... + 93756.

Almost surely, 2372140496 is an apocalyptic number.

372140496 is a gapful number since it is divisible by the number (36) 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 372140496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652514226).

372140496 is an abundant number, since it is smaller than the sum of its proper divisors (932887956).

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

372140496 is a wasteful number, since it uses less digits than its factorization.

372140496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 372140496 is about 19290.9433672903. The cubic root of 372140496 is about 719.2871648617.

The spelling of 372140496 in words is "three hundred seventy-two million, one hundred forty thousand, four hundred ninety-six".