Search a number
-
+
149629360 = 24510491783
BaseRepresentation
bin10001110101100…
…10100110110000
3101102112221220011
420322302212300
5301301114420
622503024304
73464554126
oct1072624660
9342487804
10149629360
1177509831
124213b094
1324ccc2aa
1415c2d916
15d20995a
hex8eb29b0

149629360 has 40 divisors (see below), whose sum is σ = 348415200. Its totient is φ = 59761152.

The previous prime is 149629349. The next prime is 149629391. The reversal of 149629360 is 63926941.

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

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83029 + ... + 84811.

It is an arithmetic number, because the mean of its divisors is an integer number (8710380).

Almost surely, 2149629360 is an apocalyptic number.

149629360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149629360 is an abundant number, since it is smaller than the sum of its proper divisors (198785840).

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

149629360 is a wasteful number, since it uses less digits than its factorization.

149629360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 149629360 is about 12232.3080405948. The cubic root of 149629360 is about 530.8912972337.

The spelling of 149629360 in words is "one hundred forty-nine million, six hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1049 1783 2098 3566 4196 5245 7132 8392 8915 10490 14264 16784 17830 20980 28528 35660 41960 71320 83920 142640 1870367 3740734 7481468 9351835 14962936 18703670 29925872 37407340 74814680 149629360