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20091960 = 23325721767
BaseRepresentation
bin100110010100…
…1010000111000
31101210202222200
41030221100320
520120420320
61554350200
7332531100
oct114512070
941722880
1020091960
1110383429
12688b360
134216245
142950200
151b6d290
hex1329438

20091960 has 288 divisors, whose sum is σ = 81628560. Its totient is φ = 4257792.

The previous prime is 20091947. The next prime is 20091961. The reversal of 20091960 is 6919002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20091961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299847 + ... + 299913.

Almost surely, 220091960 is an apocalyptic number.

20091960 is a gapful number since it is divisible by the number (20) 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 20091960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40814280).

20091960 is an abundant number, since it is smaller than the sum of its proper divisors (61536600).

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

20091960 is a wasteful number, since it uses less digits than its factorization.

20091960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 20091960 is about 4482.4056041371. The cubic root of 20091960 is about 271.8571553884.

It can be divided in two parts, 2009 and 1960, that added together give a square (3969 = 632).

The spelling of 20091960 in words is "twenty million, ninety-one thousand, nine hundred sixty".