Search a number
-
+
149879280 = 2435624497
BaseRepresentation
bin10001110111011…
…11100111110000
3101110000122201110
420323233213300
5301332114110
622512233320
73466644555
oct1073574760
9343018643
10149879280
117766a581
124223b840
1325088c85
1415c96a2c
15d258a20
hex8eef9f0

149879280 has 40 divisors (see below), whose sum is σ = 464626512. Its totient is φ = 39967744.

The previous prime is 149879243. The next prime is 149879291. The reversal of 149879280 is 82978941.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312009 + ... + 312488.

Almost surely, 2149879280 is an apocalyptic number.

149879280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149879280 is an abundant number, since it is smaller than the sum of its proper divisors (314747232).

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

149879280 is a wasteful number, since it uses less digits than its factorization.

149879280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624513 (or 624507 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 149879280 is about 12242.5193485655. The cubic root of 149879280 is about 531.1867083999.

The spelling of 149879280 in words is "one hundred forty-nine million, eight hundred seventy-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 624497 1248994 1873491 2497988 3122485 3746982 4995976 6244970 7493964 9367455 9991952 12489940 14987928 18734910 24979880 29975856 37469820 49959760 74939640 149879280