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149121966 = 23731532161
BaseRepresentation
bin10001110001101…
…10101110101110
3101101121011212210
420320312232232
5301133400331
622444111250
73460341630
oct1070665656
9341534783
10149121966
11771a25a4
1241b35526
1324b82366
1415b3aa50
15d159446
hex8e36bae

149121966 has 64 divisors (see below), whose sum is σ = 358649856. Its totient is φ = 40435200.

The previous prime is 149121953. The next prime is 149121971. The reversal of 149121966 is 669121941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67926 + ... + 70086.

It is an arithmetic number, because the mean of its divisors is an integer number (5603904).

Almost surely, 2149121966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149121966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179324928).

149121966 is an abundant number, since it is smaller than the sum of its proper divisors (209527890).

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

149121966 is a wasteful number, since it uses less digits than its factorization.

149121966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257.

The product of its digits is 23328, while the sum is 39.

The square root of 149121966 is about 12211.5505158027. The cubic root of 149121966 is about 530.2905325322.

The spelling of 149121966 in words is "one hundred forty-nine million, one hundred twenty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 53 62 93 106 159 186 217 318 371 434 651 742 1113 1302 1643 2161 2226 3286 4322 4929 6483 9858 11501 12966 15127 23002 30254 34503 45381 66991 69006 90762 114533 133982 200973 229066 343599 401946 468937 687198 801731 937874 1406811 1603462 2405193 2813622 3550523 4810386 7101046 10651569 21303138 24853661 49707322 74560983 149121966