Search a number
-
+
159054240 = 25352291447
BaseRepresentation
bin10010111101011…
…11100110100000
3102002021210101210
421132233212200
5311204213430
623441030120
73640636662
oct1136574640
9362253353
10159054240
1181866894
1245325340
1326c4c147
14171a4532
15de6c2b0
hex97af9a0

159054240 has 96 divisors (see below), whose sum is σ = 503556480. Its totient is φ = 42200064.

The previous prime is 159054229. The next prime is 159054257. The reversal of 159054240 is 42450951.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 159054198 and 159054207.

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, 109197 + ... + 110643.

It is an arithmetic number, because the mean of its divisors is an integer number (5245380).

Almost surely, 2159054240 is an apocalyptic number.

159054240 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 159054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251778240).

159054240 is an abundant number, since it is smaller than the sum of its proper divisors (344502240).

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

159054240 is a wasteful number, since it uses less digits than its factorization.

159054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 159054240 is about 12611.6707854273. The cubic root of 159054240 is about 541.8117472787.

The spelling of 159054240 in words is "one hundred fifty-nine million, fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 229 240 458 480 687 916 1145 1374 1447 1832 2290 2748 2894 3435 3664 4341 4580 5496 5788 6870 7235 7328 8682 9160 10992 11576 13740 14470 17364 18320 21705 21984 23152 27480 28940 34728 36640 43410 46304 54960 57880 69456 86820 109920 115760 138912 173640 231520 331363 347280 662726 694560 994089 1325452 1656815 1988178 2650904 3313630 3976356 4970445 5301808 6627260 7952712 9940890 10603616 13254520 15905424 19881780 26509040 31810848 39763560 53018080 79527120 159054240