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149538090 = 235133743241
BaseRepresentation
bin10001110100111…
…00010100101010
3101102101022200210
420322130110222
5301240204330
622501041550
73464024052
oct1072342452
9342338623
10149538090
11774571a9
12420b62b6
1324c998a0
1415c08562
15d1dc8b0
hex8e9c52a

149538090 has 128 divisors (see below), whose sum is σ = 407860992. Its totient is φ = 34836480.

The previous prime is 149538083. The next prime is 149538119. The reversal of 149538090 is 90835941.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 620370 + ... + 620610.

It is an arithmetic number, because the mean of its divisors is an integer number (3186414).

Almost surely, 2149538090 is an apocalyptic number.

149538090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149538090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203930496).

149538090 is an abundant number, since it is smaller than the sum of its proper divisors (258322902).

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

149538090 is a wasteful number, since it uses less digits than its factorization.

149538090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 149538090 is about 12228.5767773687. The cubic root of 149538090 is about 530.7833320054.

The spelling of 149538090 in words is "one hundred forty-nine million, five hundred thirty-eight thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 43 65 74 78 86 111 129 130 185 195 215 222 241 258 370 390 430 481 482 555 559 645 723 962 1110 1118 1205 1290 1443 1446 1591 1677 2405 2410 2795 2886 3133 3182 3354 3615 4773 4810 5590 6266 7215 7230 7955 8385 8917 9399 9546 10363 14430 15665 15910 16770 17834 18798 20683 20726 23865 26751 31089 31330 41366 44585 46995 47730 51815 53502 62049 62178 89170 93990 103415 103630 115921 124098 133755 134719 155445 206830 231842 267510 269438 310245 310890 347763 383431 404157 579605 620490 673595 695526 766862 808314 1150293 1159210 1347190 1738815 1917155 2020785 2300586 3477630 3834310 4041570 4984603 5751465 9969206 11502930 14953809 24923015 29907618 49846030 74769045 149538090