Search a number
-
+
149962540 = 225721379149
BaseRepresentation
bin10001111000000…
…11111100101100
3101110011212221011
420330003330230
5301342300130
622514115004
73500442400
oct1074037454
9343155834
10149962540
1177717092
124227ba64
13250b7b40
1415cb9100
15d27352a
hex8f03f2c

149962540 has 144 divisors (see below), whose sum is σ = 402192000. Its totient is φ = 46545408.

The previous prime is 149962499. The next prime is 149962577. The reversal of 149962540 is 45269941.

149962540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149962493 and 149962502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006386 + ... + 1006534.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 2149962540 is an apocalyptic number.

149962540 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 149962540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096000).

149962540 is an abundant number, since it is smaller than the sum of its proper divisors (252229460).

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

149962540 is a wasteful number, since it uses less digits than its factorization.

149962540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 149962540 is about 12245.9193203287. The cubic root of 149962540 is about 531.2850506978.

The spelling of 149962540 in words is "one hundred forty-nine million, nine hundred sixty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 79 91 98 130 140 149 158 182 196 245 260 298 316 364 395 455 490 553 596 637 745 790 910 980 1027 1043 1106 1274 1490 1580 1820 1937 2054 2086 2212 2548 2765 2980 3185 3871 3874 4108 4172 5135 5215 5530 6370 7189 7301 7742 7748 9685 10270 10430 11060 11771 12740 13559 14378 14602 15484 19355 19370 20540 20860 23542 27118 28756 29204 35945 36505 38710 38740 47084 50323 54236 58855 67795 71890 73010 77420 82397 94913 100646 117710 135590 143780 146020 153023 164794 189826 201292 235420 251615 271180 306046 329588 379652 411985 474565 503230 576779 612092 765115 823970 949130 1006460 1071161 1153558 1530230 1647940 1898260 2142322 2307116 2883895 3060460 4284644 5355805 5767790 7498127 10711610 11535580 14996254 21423220 29992508 37490635 74981270 149962540