Search a number
-
+
150370506 = 23411136491
BaseRepresentation
bin10001111011001…
…11100011001010
3101110221121120000
420331213203022
5301443324011
622530543430
73504061656
oct1075474312
9343847500
10150370506
1177975650
1242437b76
13251cb740
1415d83a66
15d304356
hex8f678ca

150370506 has 80 divisors (see below), whose sum is σ = 395908128. Its totient is φ = 42055200.

The previous prime is 150370483. The next prime is 150370529. The reversal of 150370506 is 605073051.

150370506 is a `hidden beast` number, since 150 + 3 + 7 + 0 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (150370483) and next prime (150370529).

It is a super-2 number, since 2×1503705062 = 45222578149392072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 150370506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19921 + ... + 26411.

Almost surely, 2150370506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150370506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197954064).

150370506 is an abundant number, since it is smaller than the sum of its proper divisors (245537622).

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

150370506 is a wasteful number, since it uses less digits than its factorization.

150370506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 150370506 is about 12262.5652291843. The cubic root of 150370506 is about 531.7663930921.

The spelling of 150370506 in words is "one hundred fifty million, three hundred seventy thousand, five hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2106 2574 3861 6491 7722 11583 12982 19473 23166 38946 58419 71401 84383 116838 142802 168766 175257 214203 253149 350514 428406 506298 525771 642609 759447 928213 1051542 1285218 1518894 1856426 1927827 2278341 2784639 3855654 4556682 5569278 5783481 6835023 8353917 11566962 13670046 16707834 25061751 50123502 75185253 150370506