Search a number
-
+
149738940 = 223251389719
BaseRepresentation
bin10001110110011…
…01010110111100
3101102202112012200
420323031112330
5301313121230
622505231500
73465521451
oct1073152674
9342675180
10149738940
117758409a
1242192590
132503a130
1415c5b828
15d22c160
hex8ecd5bc

149738940 has 144 divisors (see below), whose sum is σ = 495331200. Its totient is φ = 36393984.

The previous prime is 149738933. The next prime is 149738951. The reversal of 149738940 is 49837941.

149738940 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

149738940 is strictly pandigital in base 9.

It is a congruent number.

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, 207901 + ... + 208619.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2149738940 is an apocalyptic number.

149738940 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 149738940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

149738940 is an abundant number, since it is smaller than the sum of its proper divisors (345592260).

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

149738940 is a wasteful number, since it uses less digits than its factorization.

149738940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 149738940 is about 12236.7863428271. The cubic root of 149738940 is about 531.0208637679.

Subtracting from 149738940 its reverse (49837941), we obtain a palindrome (99900999).

The spelling of 149738940 in words is "one hundred forty-nine million, seven hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 89 90 117 130 156 178 180 195 234 260 267 356 390 445 468 534 585 719 780 801 890 1068 1157 1170 1335 1438 1602 1780 2157 2314 2340 2670 2876 3204 3471 3595 4005 4314 4628 5340 5785 6471 6942 7190 8010 8628 9347 10413 10785 11570 12942 13884 14380 16020 17355 18694 20826 21570 23140 25884 28041 32355 34710 37388 41652 43140 46735 52065 56082 63991 64710 69420 84123 93470 104130 112164 127982 129420 140205 168246 186940 191973 208260 255964 280410 319955 336492 383946 420615 560820 575919 639910 767892 831883 841230 959865 1151838 1279820 1663766 1682460 1919730 2303676 2495649 2879595 3327532 3839460 4159415 4991298 5759190 7486947 8318830 9982596 11518380 12478245 14973894 16637660 24956490 29947788 37434735 49912980 74869470 149738940