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149486040 = 233351112583
BaseRepresentation
bin10001110100011…
…11100111011000
3101102021200022000
420322033213120
5301232023130
622500001000
73463416234
oct1072174730
9342250260
10149486040
1177421090
1242090160
1324c7bca2
1415bd35c4
15d1cc260
hex8e8f9d8

149486040 has 128 divisors (see below), whose sum is σ = 543628800. Its totient is φ = 36236160.

The previous prime is 149486033. The next prime is 149486047. The reversal of 149486040 is 40684941.

It is a happy number.

149486040 is a `hidden beast` number, since 1 + 4 + 9 + 48 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149486033) and next prime (149486047).

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 = 149485986 and 149486004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149486047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5589 + ... + 18171.

It is an arithmetic number, because the mean of its divisors is an integer number (4247100).

Almost surely, 2149486040 is an apocalyptic number.

149486040 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 149486040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271814400).

149486040 is an abundant number, since it is smaller than the sum of its proper divisors (394142760).

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

149486040 is a wasteful number, since it uses less digits than its factorization.

149486040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 149486040 is about 12226.4483804578. The cubic root of 149486040 is about 530.7217412797.

The spelling of 149486040 in words is "one hundred forty-nine million, four hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 12583 25166 37749 50332 62915 75498 100664 113247 125830 138413 150996 188745 226494 251660 276826 301992 339741 377490 415239 452988 503320 553652 566235 679482 692065 754980 830478 905976 1107304 1132470 1245717 1358964 1384130 1509960 1660956 1698705 2076195 2264940 2491434 2717928 2768260 3321912 3397410 3737151 4152390 4529880 4982868 5536520 6228585 6794820 7474302 8304780 9965736 12457170 13589640 14948604 16609560 18685755 24914340 29897208 37371510 49828680 74743020 149486040