Search a number
-
+
149932440 = 23325759497
BaseRepresentation
bin10001110111111…
…00100110011000
3101110010100122100
420323330212120
5301340314230
622513323400
73500255550
oct1073744630
9343110570
10149932440
11776a6509
1242266560
13250a7228
1415cac160
15d269660
hex8efc998

149932440 has 96 divisors (see below), whose sum is σ = 556901280. Its totient is φ = 34269696.

The previous prime is 149932429. The next prime is 149932451. The reversal of 149932440 is 44239941.

It is an interprime number because it is at equal distance from previous prime (149932429) and next prime (149932451).

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 = 149932395 and 149932404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27229 + ... + 32268.

It is an arithmetic number, because the mean of its divisors is an integer number (5801055).

Almost surely, 2149932440 is an apocalyptic number.

149932440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149932440 is an abundant number, since it is smaller than the sum of its proper divisors (406968840).

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

149932440 is a wasteful number, since it uses less digits than its factorization.

149932440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59521 (or 59514 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 149932440 is about 12244.6902778306. The cubic root of 149932440 is about 531.2495023755.

The spelling of 149932440 in words is "one hundred forty-nine million, nine hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 59497 118994 178491 237988 297485 356982 416479 475976 535473 594970 713964 832958 892455 1070946 1189940 1249437 1427928 1665916 1784910 2082395 2141892 2379880 2498874 2677365 3331832 3569820 3748311 4164790 4283784 4997748 5354730 6247185 7139640 7496622 8329580 9995496 10709460 12494370 14993244 16659160 18741555 21418920 24988740 29986488 37483110 49977480 74966220 149932440