Search a number
-
+
158190960 = 243519113307
BaseRepresentation
bin10010110110111…
…00110101110000
3102000122221012110
421123130311300
5310444102320
623410325320
73630413064
oct1133346560
9360587173
10158190960
1181327234
1244b89840
1326a09225
141701baa4
15dd4b5e0
hex96dcd70

158190960 has 160 divisors (see below), whose sum is σ = 522466560. Its totient is φ = 39481344.

The previous prime is 158190959. The next prime is 158190961. The reversal of 158190960 is 69091851.

158190960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (158190959) and next prime (158190961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158190961) 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, 515127 + ... + 515433.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2158190960 is an apocalyptic number.

158190960 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 158190960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

158190960 is an abundant number, since it is smaller than the sum of its proper divisors (364275600).

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

158190960 is a wasteful number, since it uses less digits than its factorization.

158190960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 158190960 is about 12577.3987771717. The cubic root of 158190960 is about 540.8297258207.

The spelling of 158190960 in words is "one hundred fifty-eight million, one hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 113 114 120 152 190 226 228 240 285 304 307 339 380 452 456 565 570 614 678 760 904 912 921 1130 1140 1228 1356 1520 1535 1695 1808 1842 2147 2260 2280 2456 2712 3070 3390 3684 4294 4520 4560 4605 4912 5424 5833 6140 6441 6780 7368 8588 9040 9210 10735 11666 12280 12882 13560 14736 17176 17499 18420 21470 23332 24560 25764 27120 29165 32205 34352 34691 34998 36840 42940 46664 51528 58330 64410 69382 69996 73680 85880 87495 93328 103056 104073 116660 128820 138764 139992 171760 173455 174990 208146 233320 257640 277528 279984 346910 349980 416292 466640 515280 520365 555056 659129 693820 699960 832584 1040730 1318258 1387640 1399920 1665168 1977387 2081460 2636516 2775280 3295645 3954774 4162920 5273032 6591290 7909548 8325840 9886935 10546064 13182580 15819096 19773870 26365160 31638192 39547740 52730320 79095480 158190960