Search a number
-
+
149654652 = 223723711091
BaseRepresentation
bin10001110101110…
…00110001111100
3101102121020120220
420322320301330
5301302422102
622503341340
73465020640
oct1072706174
9342536526
10149654652
1177526834
1242151850
132500a964
1415c38c20
15d2121bc
hex8eb8c7c

149654652 has 96 divisors (see below), whose sum is σ = 422682624. Its totient is φ = 40286400.

The previous prime is 149654651. The next prime is 149654683. The reversal of 149654652 is 256456941.

149654652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1496546522 = 44793029730482208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149654651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136627 + ... + 137717.

It is an arithmetic number, because the mean of its divisors is an integer number (4402944).

Almost surely, 2149654652 is an apocalyptic number.

149654652 is a gapful number since it is divisible by the number (12) 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 149654652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

149654652 is an abundant number, since it is smaller than the sum of its proper divisors (273027972).

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

149654652 is a wasteful number, since it uses less digits than its factorization.

149654652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1197 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 149654652 is about 12233.3418165275. The cubic root of 149654652 is about 530.9212079104.

The spelling of 149654652 in words is "one hundred forty-nine million, six hundred fifty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 71 84 92 138 142 161 213 276 284 322 426 483 497 644 852 966 994 1091 1491 1633 1932 1988 2182 2982 3266 3273 4364 4899 5964 6532 6546 7637 9798 11431 13092 15274 19596 22862 22911 25093 30548 34293 45724 45822 50186 68586 75279 77461 91644 100372 137172 150558 154922 175651 232383 301116 309844 351302 464766 526953 542227 702604 929532 1053906 1084454 1626681 1781603 2107812 2168908 3253362 3563206 5344809 6506724 7126412 10689618 12471221 21379236 24942442 37413663 49884884 74827326 149654652