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158949540 = 22345591663
BaseRepresentation
bin10010111100101…
…10000010100100
3102002002110210000
421132112002210
5311142341130
623434501300
73640022511
oct1136260244
9362073700
10158949540
11817a5162
1245294830
1326c135a9
1417178308
15de4b260
hex97960a4

158949540 has 120 divisors (see below), whose sum is σ = 507386880. Its totient is φ = 41643072.

The previous prime is 158949533. The next prime is 158949547. The reversal of 158949540 is 45949851.

158949540 is a `hidden beast` number, since 15 + 8 + 94 + 9 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (158949533) and next prime (158949547).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (158949547) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94749 + ... + 96411.

It is an arithmetic number, because the mean of its divisors is an integer number (4228224).

Almost surely, 2158949540 is an apocalyptic number.

158949540 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 158949540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253693440).

158949540 is an abundant number, since it is smaller than the sum of its proper divisors (348437340).

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

158949540 is a wasteful number, since it uses less digits than its factorization.

158949540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 158949540 is about 12607.5191849943. The cubic root of 158949540 is about 541.6928357640.

The spelling of 158949540 in words is "one hundred fifty-eight million, nine hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 270 295 324 354 405 531 540 590 708 810 885 1062 1180 1593 1620 1663 1770 2124 2655 3186 3326 3540 4779 4989 5310 6372 6652 7965 8315 9558 9978 10620 14967 15930 16630 19116 19956 23895 24945 29934 31860 33260 44901 47790 49890 59868 74835 89802 95580 98117 99780 134703 149670 179604 196234 224505 269406 294351 299340 392468 449010 490585 538812 588702 673515 883053 898020 981170 1177404 1347030 1471755 1766106 1962340 2649159 2694060 2943510 3532212 4415265 5298318 5887020 7947477 8830530 10596636 13245795 15894954 17661060 26491590 31789908 39737385 52983180 79474770 158949540