Search a number
-
+
189686640 = 243511135527
BaseRepresentation
bin10110100111001…
…10001101110000
3111012221002011010
423103212031300
5342024433030
630453350520
74462211163
oct1323461560
9435832133
10189686640
1198089420
1253638440
13303b5c20
141b299ada
15119bd6b0
hexb4e6370

189686640 has 160 divisors (see below), whose sum is σ = 690955776. Its totient is φ = 42439680.

The previous prime is 189686639. The next prime is 189686647. The reversal of 189686640 is 46686981.

189686640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 189686640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189686647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31557 + ... + 37083.

Almost surely, 2189686640 is an apocalyptic number.

189686640 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 189686640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345477888).

189686640 is an abundant number, since it is smaller than the sum of its proper divisors (501269136).

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

189686640 is a wasteful number, since it uses less digits than its factorization.

189686640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 189686640 is about 13772.6772996393. The cubic root of 189686640 is about 574.5734858479.

The spelling of 189686640 in words is "one hundred eighty-nine million, six hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5527 5720 6864 8580 11054 11440 16581 17160 22108 27635 33162 34320 44216 55270 60797 66324 71851 82905 88432 110540 121594 132648 143702 165810 182391 215553 221080 243188 265296 287404 303985 331620 359255 364782 431106 442160 486376 574808 607970 663240 718510 729564 790361 862212 911955 972752 1077765 1149616 1215940 1326480 1437020 1459128 1580722 1724424 1823910 2155530 2371083 2431880 2874040 2918256 3161444 3448848 3647820 3951805 4311060 4742166 4863760 5748080 6322888 7295640 7903610 8622120 9484332 11855415 12645776 14591280 15807220 17244240 18968664 23710830 31614440 37937328 47421660 63228880 94843320 189686640