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149310240 = 25351971579
BaseRepresentation
bin10001110011001…
…00101100100000
3101101221202010220
420321210230200
5301210411430
622452123040
73462054552
oct1071445440
9341852126
10149310240
1177310aa2
1242006480
1324c19c71
1415b894d2
15d195110
hex8e64b20

149310240 has 96 divisors (see below), whose sum is σ = 473014080. Its totient is φ = 39588864.

The previous prime is 149310223. The next prime is 149310251. The reversal of 149310240 is 42013941.

149310240 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 149310240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93771 + ... + 95349.

It is an arithmetic number, because the mean of its divisors is an integer number (4927230).

Almost surely, 2149310240 is an apocalyptic number.

149310240 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 149310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236507040).

149310240 is an abundant number, since it is smaller than the sum of its proper divisors (323703840).

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

149310240 is a wasteful number, since it uses less digits than its factorization.

149310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 149310240 is about 12219.2569332182. The cubic root of 149310240 is about 530.5136115197.

The spelling of 149310240 in words is "one hundred forty-nine million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1579 1970 2364 2955 3152 3158 3940 4728 4737 5910 6304 6316 7880 7895 9456 9474 11820 12632 15760 15790 18912 18948 23640 23685 25264 31520 31580 37896 47280 47370 50528 63160 75792 94560 94740 126320 151584 189480 252640 311063 378960 622126 757920 933189 1244252 1555315 1866378 2488504 3110630 3732756 4665945 4977008 6221260 7465512 9331890 9954016 12442520 14931024 18663780 24885040 29862048 37327560 49770080 74655120 149310240