Search a number
-
+
159062940 = 22355231423
BaseRepresentation
bin10010111101100…
…01101110011100
3102002022020100000
421132301232130
5311210003230
623441134300
73641004231
oct1136615634
9362266300
10159062940
1181872383
124532a390
1326c530aa
14171a7788
15de6eb60
hex97b1b9c

159062940 has 144 divisors (see below), whose sum is σ = 522482688. Its totient is φ = 40544064.

The previous prime is 159062921. The next prime is 159062957. The reversal of 159062940 is 49260951.

159062940 is a `hidden beast` number, since 1 + 590 + 6 + 29 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 159062895 and 159062904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111069 + ... + 112491.

It is an arithmetic number, because the mean of its divisors is an integer number (3628352).

Almost surely, 2159062940 is an apocalyptic number.

159062940 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 159062940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261241344).

159062940 is an abundant number, since it is smaller than the sum of its proper divisors (363419748).

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

159062940 is a wasteful number, since it uses less digits than its factorization.

159062940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 159062940 is about 12612.0156993242. The cubic root of 159062940 is about 541.8216258297.

The spelling of 159062940 in words is "one hundred fifty-nine million, sixty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 243 270 276 324 345 405 414 460 486 540 621 690 810 828 972 1035 1215 1242 1380 1423 1620 1863 2070 2430 2484 2846 3105 3726 4140 4269 4860 5589 5692 6210 7115 7452 8538 9315 11178 12420 12807 14230 17076 18630 21345 22356 25614 27945 28460 32729 37260 38421 42690 51228 55890 64035 65458 76842 85380 98187 111780 115263 128070 130916 153684 163645 192105 196374 230526 256140 294561 327290 345789 384210 392748 461052 490935 576315 589122 654580 691578 768420 883683 981870 1152630 1178244 1383156 1472805 1728945 1767366 1963740 2305260 2651049 2945610 3457890 3534732 4418415 5302098 5891220 6915780 7953147 8836830 10604196 13255245 15906294 17673660 26510490 31812588 39765735 53020980 79531470 159062940