Search a number
-
+
158507640 = 233254110739
BaseRepresentation
bin10010111001010…
…10001001111000
3102001021000121100
421130222021320
5311034221030
623421211400
73633202254
oct1134521170
9361230540
10158507640
1181523155
1245100b60
1326aba405
14170a1264
15ddb0360
hex972a278

158507640 has 96 divisors (see below), whose sum is σ = 527763600. Its totient is φ = 41233920.

The previous prime is 158507639. The next prime is 158507669. The reversal of 158507640 is 46705851.

158507640 is a `hidden beast` number, since 1 + 5 + 8 + 5 + 0 + 7 + 640 = 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 = 158507595 and 158507604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9391 + ... + 20129.

Almost surely, 2158507640 is an apocalyptic number.

158507640 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 158507640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263881800).

158507640 is an abundant number, since it is smaller than the sum of its proper divisors (369255960).

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

158507640 is a wasteful number, since it uses less digits than its factorization.

158507640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10797 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 158507640 is about 12589.9817315197. The cubic root of 158507640 is about 541.1903781129.

The spelling of 158507640 in words is "one hundred fifty-eight million, five hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 10739 14760 21478 32217 42956 53695 64434 85912 96651 107390 128868 161085 193302 214780 257736 322170 386604 429560 440299 483255 644340 773208 880598 966510 1288680 1320897 1761196 1933020 2201495 2641794 3522392 3866040 3962691 4402990 5283588 6604485 7925382 8805980 10567176 13208970 15850764 17611960 19813455 26417940 31701528 39626910 52835880 79253820 158507640