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20131944 = 23372171953
BaseRepresentation
bin100110011001…
…1000001101000
31101212210211120
41030303001220
520123210234
61555255240
7333055500
oct114630150
941783746
1020131944
1110400478
1268aa520
13422b4c1
142960a00
151b7a049
hex1333068

20131944 has 192 divisors, whose sum is σ = 66484800. Its totient is φ = 5031936.

The previous prime is 20131939. The next prime is 20131981. The reversal of 20131944 is 44913102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379822 + ... + 379874.

It is an arithmetic number, because the mean of its divisors is an integer number (346275).

Almost surely, 220131944 is an apocalyptic number.

20131944 is a gapful number since it is divisible by the number (24) 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 20131944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33242400).

20131944 is an abundant number, since it is smaller than the sum of its proper divisors (46352856).

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

20131944 is a wasteful number, since it uses less digits than its factorization.

20131944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20131944 is about 4486.8634924633. The cubic root of 20131944 is about 272.0373723159.

The spelling of 20131944 in words is "twenty million, one hundred thirty-one thousand, nine hundred forty-four".