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1936896 = 2931397
BaseRepresentation
bin111011000111000000000
310122101220220
413120320000
5443440041
6105303040
722314633
oct7307000
93571826
101936896
111103245
12794a80
1352a7c0
14385c1a
15283d66
hex1d8e00

1936896 has 80 divisors (see below), whose sum is σ = 5614224. Its totient is φ = 589824.

The previous prime is 1936889. The next prime is 1936943. The reversal of 1936896 is 6986391.

It is a super-2 number, since 2×19368962 = 7503132229632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19920 + ... + 20016.

21936896 is an apocalyptic number.

1936896 is a gapful number since it is divisible by the number (16) 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 1936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807112).

1936896 is an abundant number, since it is smaller than the sum of its proper divisors (3677328).

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

1936896 is an equidigital number, since it uses as much as digits as its factorization.

1936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 1936896 is about 1391.7241105909. The cubic root of 1936896 is about 124.6528179430.

The spelling of 1936896 in words is "one million, nine hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 97 104 128 156 192 194 208 256 291 312 384 388 416 512 582 624 768 776 832 1164 1248 1261 1536 1552 1664 2328 2496 2522 3104 3328 3783 4656 4992 5044 6208 6656 7566 9312 9984 10088 12416 15132 18624 19968 20176 24832 30264 37248 40352 49664 60528 74496 80704 121056 148992 161408 242112 322816 484224 645632 968448 1936896