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149697000 = 23325316633
BaseRepresentation
bin10001110110000…
…11000111101000
3101102200101200100
420323003013220
5301310301000
622504305400
73465255255
oct1073030750
9342611610
10149697000
1177555632
1242172260
132502400b
1415c4a42c
15d21ea00
hex8ec31e8

149697000 has 96 divisors (see below), whose sum is σ = 506006280. Its totient is φ = 39916800.

The previous prime is 149696993. The next prime is 149697091. The reversal of 149697000 is 796941.

It can be written as a sum of positive squares in 4 ways, for example, as 19873764 + 129823236 = 4458^2 + 11394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 684 + ... + 17316.

Almost surely, 2149697000 is an apocalyptic number.

149697000 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 149697000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253003140).

149697000 is an abundant number, since it is smaller than the sum of its proper divisors (356309280).

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

149697000 is a wasteful number, since it uses less digits than its factorization.

149697000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16660 (or 16643 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149697000 is about 12235.0725375864. The cubic root of 149697000 is about 530.9712817094.

The spelling of 149697000 in words is "one hundred forty-nine million, six hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 16633 33266 49899 66532 83165 99798 133064 149697 166330 199596 249495 299394 332660 399192 415825 498990 598788 665320 748485 831650 997980 1197576 1247475 1496970 1663300 1995960 2079125 2494950 2993940 3326600 3742425 4158250 4989900 5987880 6237375 7484850 8316500 9979800 12474750 14969700 16633000 18712125 24949500 29939400 37424250 49899000 74848500 149697000