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149055840 = 25325103511
BaseRepresentation
bin10001110001001…
…10100101100000
3101101110211011200
420320212211200
5301124241330
622442441200
73456645063
oct1070464540
9341424150
10149055840
117715794a
1241b03200
1324b5b22b
1415b208da
15d144a60
hex8e26960

149055840 has 72 divisors (see below), whose sum is σ = 508657968. Its totient is φ = 39747840.

The previous prime is 149055793. The next prime is 149055883. The reversal of 149055840 is 48550941.

149055840 is a `hidden beast` number, since 14 + 90 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 149055795 and 149055804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50316 + ... + 53195.

It is an arithmetic number, because the mean of its divisors is an integer number (7064694).

Almost surely, 2149055840 is an apocalyptic number.

149055840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149055840 is an abundant number, since it is smaller than the sum of its proper divisors (359602128).

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

149055840 is a wasteful number, since it uses less digits than its factorization.

149055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103532 (or 103521 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 149055840 is about 12208.8426969963. The cubic root of 149055840 is about 530.2121376963.

The spelling of 149055840 in words is "one hundred forty-nine million, fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 103511 207022 310533 414044 517555 621066 828088 931599 1035110 1242132 1552665 1656176 1863198 2070220 2484264 3105330 3312352 3726396 4140440 4657995 4968528 6210660 7452792 8280880 9315990 9937056 12421320 14905584 16561760 18631980 24842640 29811168 37263960 49685280 74527920 149055840