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2107938 = 237311619
BaseRepresentation
bin1000000010101000100010
310222002112210
420002220202
51014423223
6113102550
723626410
oct10025042
93862483
102107938
11120a7a8
12857a56
1358a601
143cc2b0
152b9893
hex202a22

2107938 has 32 divisors (see below), whose sum is σ = 4976640. Its totient is φ = 582480.

The previous prime is 2107913. The next prime is 2107939. The reversal of 2107938 is 8397012.

It is a happy number.

It is a super-2 number, since 2×21079382 = 8886805223688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2107939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

22107938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488320).

2107938 is an abundant number, since it is smaller than the sum of its proper divisors (2868702).

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

2107938 is a wasteful number, since it uses less digits than its factorization.

2107938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2107938 is about 1451.8739614719. The cubic root of 2107938 is about 128.2190665947.

The spelling of 2107938 in words is "two million, one hundred seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 1619 3238 4857 9714 11333 22666 33999 50189 67998 100378 150567 301134 351323 702646 1053969 2107938