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149040 = 2434523
BaseRepresentation
bin100100011000110000
321120110000
4210120300
514232130
63110000
71160343
oct443060
9246400
10149040
11a1a81
1272300
1352ab8
143c45a
152e260
hex24630

149040 has 100 divisors (see below), whose sum is σ = 540144. Its totient is φ = 38016.

The previous prime is 149033. The next prime is 149053. The reversal of 149040 is 40941.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149040.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6469 + ... + 6491.

2149040 is an apocalyptic number.

149040 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 149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270072).

149040 is an abundant number, since it is smaller than the sum of its proper divisors (391104).

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

149040 is a wasteful number, since it uses less digits than its factorization.

149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 149040 is about 386.0569906115. The cubic root of 149040 is about 53.0193355344.

149040 divided by its product of nonzero digits (144) gives a triangular number (1035 = T45).

Adding to 149040 its reverse (40941), we get a palindrome (189981).

The spelling of 149040 in words is "one hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 81 90 92 108 115 120 135 138 144 162 180 184 207 216 230 240 270 276 324 345 360 368 405 414 432 460 540 552 621 648 690 720 810 828 920 1035 1080 1104 1242 1296 1380 1620 1656 1840 1863 2070 2160 2484 2760 3105 3240 3312 3726 4140 4968 5520 6210 6480 7452 8280 9315 9936 12420 14904 16560 18630 24840 29808 37260 49680 74520 149040