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149242240 = 275724759
BaseRepresentation
bin10001110010101…
…00000110000000
3101101211021212101
420321110012000
5301201222430
622450440144
73461352400
oct1071240600
9341737771
10149242240
11772749a4
1241b93054
1324bc5024
1415b6c800
15d17edca
hex8e54180

149242240 has 96 divisors (see below), whose sum is σ = 415119600. Its totient is φ = 51158016.

The previous prime is 149242237. The next prime is 149242253. The reversal of 149242240 is 42242941.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 149242199 and 149242208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28981 + ... + 33739.

Almost surely, 2149242240 is an apocalyptic number.

149242240 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 149242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207559800).

149242240 is an abundant number, since it is smaller than the sum of its proper divisors (265877360).

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

149242240 is an equidigital number, since it uses as much as digits as its factorization.

149242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 149242240 is about 12216.4741230848. The cubic root of 149242240 is about 530.4330624484.

The spelling of 149242240 in words is "one hundred forty-nine million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 4759 6272 7840 9518 15680 19036 23795 31360 33313 38072 47590 66626 76144 95180 133252 152288 166565 190360 233191 266504 304576 333130 380720 466382 533008 609152 666260 761440 932764 1066016 1165955 1332520 1522880 1865528 2132032 2331910 2665040 3045760 3731056 4264064 4663820 5330080 7462112 9327640 10660160 14924224 18655280 21320320 29848448 37310560 74621120 149242240