Search a number
-
+
159246240 = 25351033221
BaseRepresentation
bin10010111110111…
…10011110100000
3102002122112202220
421133132132200
5311231334430
623445111040
73642366516
oct1137363640
9362575686
10159246240
118198806a
12453b8480
1326cb865a
14172144b6
15dea9110
hex97de7a0

159246240 has 96 divisors (see below), whose sum is σ = 506653056. Its totient is φ = 42040320.

The previous prime is 159246233. The next prime is 159246253. The reversal of 159246240 is 42642951.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47830 + ... + 51050.

It is an arithmetic number, because the mean of its divisors is an integer number (5277636).

Almost surely, 2159246240 is an apocalyptic number.

159246240 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 159246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253326528).

159246240 is an abundant number, since it is smaller than the sum of its proper divisors (347406816).

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

159246240 is a wasteful number, since it uses less digits than its factorization.

159246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 159246240 is about 12619.2804866205. The cubic root of 159246240 is about 542.0296729895.

The spelling of 159246240 in words is "one hundred fifty-nine million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3221 3296 4120 4944 6180 6442 8240 9663 9888 12360 12884 16105 16480 19326 24720 25768 32210 38652 48315 49440 51536 64420 77304 96630 103072 128840 154608 193260 257680 309216 331763 386520 515360 663526 773040 995289 1327052 1546080 1658815 1990578 2654104 3317630 3981156 4976445 5308208 6635260 7962312 9952890 10616416 13270520 15924624 19905780 26541040 31849248 39811560 53082080 79623120 159246240