Search a number
-
+
149418760 = 23531412939
BaseRepresentation
bin10001110011111…
…11001100001000
3101102011021000011
420321333030020
5301222400020
622454321304
73463016131
oct1071771410
9342137004
10149418760
1177385587
1242059234
1324c5748a
1415bb6c88
15d1b735a
hex8e7f308

149418760 has 64 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 56409600.

The previous prime is 149418757. The next prime is 149418761. The reversal of 149418760 is 67814941.

149418760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (149418761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49371 + ... + 52309.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2149418760 is an apocalyptic number.

149418760 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 149418760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

149418760 is an abundant number, since it is smaller than the sum of its proper divisors (206203640).

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

149418760 is a wasteful number, since it uses less digits than its factorization.

149418760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 149418760 is about 12223.6966585399. The cubic root of 149418760 is about 530.6421077187.

The spelling of 149418760 in words is "one hundred forty-nine million, four hundred eighteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 2939 5084 5878 6355 10168 11756 12710 14695 23512 25420 29390 50840 58780 91109 117560 120499 182218 240998 364436 455545 481996 602495 728872 911090 963992 1204990 1822180 2409980 3644360 3735469 4819960 7470938 14941876 18677345 29883752 37354690 74709380 149418760