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149296686 = 237111719009
BaseRepresentation
bin10001110011000…
…01011000101110
3101101221001112220
420321201120232
5301204443221
622451540210
73462000210
oct1071413056
9341831486
10149296686
11773018a0
1241bba666
1324c13a46
1415b845b0
15d1910c6
hex8e6162e

149296686 has 64 divisors (see below), whose sum is σ = 394191360. Its totient is φ = 36495360.

The previous prime is 149296673. The next prime is 149296687. The reversal of 149296686 is 686692941.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149296687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1651 + ... + 17358.

It is an arithmetic number, because the mean of its divisors is an integer number (6159240).

Almost surely, 2149296686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149296686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197095680).

149296686 is an abundant number, since it is smaller than the sum of its proper divisors (244894674).

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

149296686 is a wasteful number, since it uses less digits than its factorization.

149296686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19049.

The product of its digits is 1119744, while the sum is 51.

The square root of 149296686 is about 12218.7023042547. The cubic root of 149296686 is about 530.4975581463.

It can be divided in two parts, 149 and 296686, that added together give a triangular number (296835 = T770).

The spelling of 149296686 in words is "one hundred forty-nine million, two hundred ninety-six thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 1122 1309 2618 3927 7854 19009 38018 57027 114054 133063 209099 266126 323153 399189 418198 627297 646306 798378 969459 1254594 1463693 1938918 2262071 2927386 3554683 4391079 4524142 6786213 7109366 8782158 10664049 13572426 21328098 24882781 49765562 74648343 149296686