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149324480 = 2652916091
BaseRepresentation
bin10001110011010…
…00001011000000
3101101222110200022
420321220023000
5301211340410
622452313012
73462144224
oct1071501300
9341873608
10149324480
1177320768
1242012768
1324c235a6
1415b90784
15d199455
hex8e682c0

149324480 has 56 divisors (see below), whose sum is σ = 367863120. Its totient is φ = 57666560.

The previous prime is 149324449. The next prime is 149324507. The reversal of 149324480 is 84423941.

149324480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 149324480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1235 + ... + 17325.

Almost surely, 2149324480 is an apocalyptic number.

149324480 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 149324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183931560).

149324480 is an abundant number, since it is smaller than the sum of its proper divisors (218538640).

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

149324480 is a wasteful number, since it uses less digits than its factorization.

149324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16137 (or 16127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 149324480 is about 12219.8396061487. The cubic root of 149324480 is about 530.5304763457.

The spelling of 149324480 in words is "one hundred forty-nine million, three hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 16091 32182 64364 80455 128728 160910 257456 321820 466639 514912 643640 933278 1029824 1287280 1866556 2333195 2574560 3733112 4666390 5149120 7466224 9332780 14932448 18665560 29864896 37331120 74662240 149324480