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3137220720 = 243451983307
BaseRepresentation
bin1011101011111110…
…0011000001110000
322002122020022210000
42322333203001300
522411112030340
61235145310000
7140512636044
oct27277430160
98078208700
103137220720
11136a9743a7
12736795300
133acc5a82a
1421a926024
1513564bd30
hexbafe3070

3137220720 has 400 divisors, whose sum is σ = 11645504640. Its totient is φ = 780461568.

The previous prime is 3137220707. The next prime is 3137220727. The reversal of 3137220720 is 270227313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137220727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10218807 + ... + 10219113.

Almost surely, 23137220720 is an apocalyptic number.

3137220720 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 3137220720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822752320).

3137220720 is an abundant number, since it is smaller than the sum of its proper divisors (8508283920).

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

3137220720 is a wasteful number, since it uses less digits than its factorization.

3137220720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3137220720 is about 56010.8982252561. The cubic root of 3137220720 is about 1463.9121823164.

The spelling of 3137220720 in words is "three billion, one hundred thirty-seven million, two hundred twenty thousand, seven hundred twenty".