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189886720 = 2851091361
BaseRepresentation
bin10110101000101…
…11000100000000
3111020022020121111
423110113010000
5342102333340
630501533104
74464003412
oct1324270400
9436266544
10189886720
1198205781
1253714194
133045600a
141b30c9b2
1511a0caea
hexb517100

189886720 has 72 divisors (see below), whose sum is σ = 459348120. Its totient is φ = 75202560.

The previous prime is 189886709. The next prime is 189886747. The reversal of 189886720 is 27688981.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 178917376 = 3312^2 + 13376^2 .

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, 138840 + ... + 140200.

It is an arithmetic number, because the mean of its divisors is an integer number (6379835).

Almost surely, 2189886720 is an apocalyptic number.

189886720 is a gapful number since it is divisible by the number (10) 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 189886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229674060).

189886720 is an abundant number, since it is smaller than the sum of its proper divisors (269461400).

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

189886720 is a wasteful number, since it uses less digits than its factorization.

189886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The square root of 189886720 is about 13779.9390419552. The cubic root of 189886720 is about 574.7754334158.

The spelling of 189886720 in words is "one hundred eighty-nine million, eight hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 545 640 872 1090 1280 1361 1744 2180 2722 3488 4360 5444 6805 6976 8720 10888 13610 13952 17440 21776 27220 27904 34880 43552 54440 69760 87104 108880 139520 148349 174208 217760 296698 348416 435520 593396 741745 871040 1186792 1483490 1742080 2373584 2966980 4747168 5933960 9494336 11867920 18988672 23735840 37977344 47471680 94943360 189886720