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149851440 = 24325239049
BaseRepresentation
bin10001110111010…
…00110100110000
3101102222020112100
420323220310300
5301330221230
622511500400
73466500444
oct1073506460
9342866470
10149851440
1177650672
1242227700
13250793bb
1415c8a824
15d250660
hex8ee8d30

149851440 has 120 divisors (see below), whose sum is σ = 525189600. Its totient is φ = 38218752.

The previous prime is 149851397. The next prime is 149851451. The reversal of 149851440 is 44158941.

149851440 is a `hidden beast` number, since 14 + 98 + 514 + 40 = 666.

149851440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 149851395 and 149851404.

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 23 ways as a sum of consecutive naturals, for example, 12036 + ... + 21084.

It is an arithmetic number, because the mean of its divisors is an integer number (4376580).

Almost surely, 2149851440 is an apocalyptic number.

149851440 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 149851440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262594800).

149851440 is an abundant number, since it is smaller than the sum of its proper divisors (375338160).

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

149851440 is a wasteful number, since it uses less digits than its factorization.

149851440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 149851440 is about 12241.3822748904. The cubic root of 149851440 is about 531.1538171431.

The spelling of 149851440 in words is "one hundred forty-nine million, eight hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 9049 16560 18098 27147 36196 45245 54294 72392 81441 90490 108588 135735 144784 162882 180980 208127 217176 271470 325764 361960 407205 416254 434352 542940 624381 651528 723920 814410 832508 1040635 1085880 1248762 1303056 1628820 1665016 1873143 2081270 2171760 2497524 3121905 3257640 3330032 3746286 4162540 4995048 6243810 6515280 7492572 8325080 9365715 9990096 12487620 14985144 16650160 18731430 24975240 29970288 37462860 49950480 74925720 149851440