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149082714 = 23311419599
BaseRepresentation
bin10001110001011…
…01001001011010
3101101112012001000
420320231021122
5301131121324
622443205430
73460116324
oct1070551132
9341465030
10149082714
1177176060
1241b16876
1324b6a531
1415b2a614
15d14c9c9
hex8e2d25a

149082714 has 64 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 44993520.

The previous prime is 149082709. The next prime is 149082727. The reversal of 149082714 is 417280941.

It is a super-2 number, since 2×1490827142 = 44451311227211592, which contains 22 as substring.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 248587 + ... + 249185.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2149082714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149082714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

149082714 is an abundant number, since it is smaller than the sum of its proper divisors (213797286).

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

149082714 is a wasteful number, since it uses less digits than its factorization.

149082714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 149082714 is about 12209.9432431113. The cubic root of 149082714 is about 530.2440006203.

It can be divided in two parts, 1490827 and 14, that added together give a square (1490841 = 12212).

The spelling of 149082714 in words is "one hundred forty-nine million, eighty-two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 419 594 599 838 1198 1257 1797 2514 3594 3771 4609 5391 6589 7542 9218 10782 11313 13178 13827 16173 19767 22626 27654 32346 39534 41481 59301 82962 118602 124443 177903 248886 250981 355806 501962 752943 1505886 2258829 2760791 4517658 5521582 6776487 8282373 13552974 16564746 24847119 49694238 74541357 149082714