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149308920 = 2335515361
BaseRepresentation
bin10001110011001…
…00010111111000
3101101221200100000
420321210113320
5301210341140
622452113000
73462050655
oct1071442770
9341850300
10149308920
1177310002
1242005760
1324c19497
1415b88c2c
15d194a30
hex8e645f8

149308920 has 96 divisors (see below), whose sum is σ = 503259120. Its totient is φ = 39813120.

The previous prime is 149308889. The next prime is 149308937. The reversal of 149308920 is 29803941.

149308920 is digitally balanced in base 2, because in such base 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 (36).

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, 2040 + ... + 17400.

Almost surely, 2149308920 is an apocalyptic number.

149308920 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 149308920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251629560).

149308920 is an abundant number, since it is smaller than the sum of its proper divisors (353950200).

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

149308920 is a wasteful number, since it uses less digits than its factorization.

149308920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15387 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 149308920 is about 12219.2029199944. The cubic root of 149308920 is about 530.5120481528.

The spelling of 149308920 in words is "one hundred forty-nine million, three hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 15361 30722 46083 61444 76805 92166 122888 138249 153610 184332 230415 276498 307220 368664 414747 460830 552996 614440 691245 829494 921660 1105992 1244241 1382490 1658988 1843320 2073735 2488482 2764980 3317976 3732723 4147470 4976964 5529960 6221205 7465446 8294940 9953928 12442410 14930892 16589880 18663615 24884820 29861784 37327230 49769640 74654460 149308920