Search a number
-
+
149519874 = 237497107
BaseRepresentation
bin10001110100101…
…11111000000010
3101102100101201010
420322113320002
5301234113444
622500421350
73463620000
oct1072277002
9342311633
10149519874
1177444549
12420a7856
1324c914ca
1415c01a70
15d1d72b9
hex8e97e02

149519874 has 80 divisors (see below), whose sum is σ = 355749408. Its totient is φ = 41884416.

The previous prime is 149519869. The next prime is 149519893. The reversal of 149519874 is 478915941.

Its product of digits (362880) is a multiple of the sum of its prime divisors (216).

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 39 ways as a sum of consecutive naturals, for example, 1397329 + ... + 1397435.

Almost surely, 2149519874 is an apocalyptic number.

149519874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149519874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177874704).

149519874 is an abundant number, since it is smaller than the sum of its proper divisors (206229534).

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

149519874 is an equidigital number, since it uses as much as digits as its factorization.

149519874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 149519874 is about 12227.8319419266. The cubic root of 149519874 is about 530.7617786523.

The spelling of 149519874 in words is "one hundred forty-nine million, five hundred nineteen thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 107 147 194 214 291 294 321 343 582 642 679 686 749 1029 1358 1498 2037 2058 2247 2401 4074 4494 4753 4802 5243 7203 9506 10379 10486 14259 14406 15729 20758 28518 31137 31458 33271 36701 62274 66542 72653 73402 99813 110103 145306 199626 217959 220206 232897 256907 435918 465794 508571 513814 698691 770721 1017142 1397382 1525713 1541442 3051426 3559997 7119994 10679991 21359982 24919979 49839958 74759937 149519874