Search a number
-
+
189502720 = 2851143313
BaseRepresentation
bin10110100101110…
…01010100000000
3111012120201212021
423102321110000
5342003041340
630445411224
74460514031
oct1322712400
9435521767
10189502720
1197a73220
1253569b14
13303502b4
141b24ca88
1511983e4a
hexb4b9500

189502720 has 144 divisors (see below), whose sum is σ = 508318272. Its totient is φ = 67092480.

The previous prime is 189502717. The next prime is 189502739. The reversal of 189502720 is 27205981.

It is a super-2 number, since 2×1895027202 = 71822561774796800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605284 + ... + 605596.

It is an arithmetic number, because the mean of its divisors is an integer number (3529988).

Almost surely, 2189502720 is an apocalyptic number.

189502720 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 189502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254159136).

189502720 is an abundant number, since it is smaller than the sum of its proper divisors (318815552).

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

189502720 is a wasteful number, since it uses less digits than its factorization.

189502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 189502720 is about 13765.9986924306. The cubic root of 189502720 is about 574.3877238138.

The spelling of 189502720 in words is "one hundred eighty-nine million, five hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 256 313 320 344 352 430 440 473 626 640 688 704 860 880 946 1252 1280 1376 1408 1565 1720 1760 1892 2365 2504 2752 2816 3130 3440 3443 3520 3784 4730 5008 5504 6260 6880 6886 7040 7568 9460 10016 11008 12520 13459 13760 13772 14080 15136 17215 18920 20032 25040 26918 27520 27544 30272 34430 37840 40064 50080 53836 55040 55088 60544 67295 68860 75680 80128 100160 107672 110176 121088 134590 137720 148049 151360 200320 215344 220352 269180 275440 296098 302720 400640 430688 440704 538360 550880 592196 605440 740245 861376 881408 1076720 1101760 1184392 1480490 1722752 2153440 2203520 2368784 2960980 3445504 4306880 4407040 4737568 5921960 8613760 9475136 11843920 17227520 18950272 23687840 37900544 47375680 94751360 189502720