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149786100 = 223252166429
BaseRepresentation
bin10001110110110…
…00110111110100
3101102211220220100
420323120313310
5301321123400
622510234100
73466106112
oct1073306764
9342756810
10149786100
1177606572
12421b5930
1325055739
1415c70ab2
15d23b100
hex8ed8df4

149786100 has 54 divisors (see below), whose sum is σ = 469499030. Its totient is φ = 39942720.

The previous prime is 149786093. The next prime is 149786107. The reversal of 149786100 is 1687941.

149786100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149786093) and next prime (149786107).

It can be written as a sum of positive squares in 3 ways, for example, as 21734244 + 128051856 = 4662^2 + 11316^2 .

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

149786100 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149786107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82315 + ... + 84114.

Almost surely, 2149786100 is an apocalyptic number.

149786100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149786100 is an abundant number, since it is smaller than the sum of its proper divisors (319712930).

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

149786100 is a wasteful number, since it uses less digits than its factorization.

149786100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166449 (or 166439 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 149786100 is about 12238.7131676496. The cubic root of 149786100 is about 531.0766059267.

The spelling of 149786100 in words is "one hundred forty-nine million, seven hundred eighty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 166429 332858 499287 665716 832145 998574 1497861 1664290 1997148 2496435 2995722 3328580 4160725 4992870 5991444 7489305 8321450 9985740 12482175 14978610 16642900 24964350 29957220 37446525 49928700 74893050 149786100