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149244000 = 2535312437
BaseRepresentation
bin10001110010101…
…00100001100000
3101101211101021120
420321110201200
5301201302000
622450452240
73461360463
oct1071244140
9341741246
10149244000
1177276254
1241b94080
1324bc5a79
1415b6d2da
15d1806a0
hex8e54860

149244000 has 96 divisors (see below), whose sum is σ = 488962656. Its totient is φ = 39795200.

The previous prime is 149243989. The next prime is 149244001. The reversal of 149244000 is 442941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149244001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5782 + ... + 18218.

It is an arithmetic number, because the mean of its divisors is an integer number (5093361).

Almost surely, 2149244000 is an apocalyptic number.

149244000 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 149244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244481328).

149244000 is an abundant number, since it is smaller than the sum of its proper divisors (339718656).

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

149244000 is a wasteful number, since it uses less digits than its factorization.

149244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12465 (or 12447 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 149244000 is about 12216.5461567499. The cubic root of 149244000 is about 530.4351475563.

Adding to 149244000 its reverse (442941), we get a palindrome (149686941).

The spelling of 149244000 in words is "one hundred forty-nine million, two hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 12437 24874 37311 49748 62185 74622 99496 124370 149244 186555 198992 248740 298488 310925 373110 397984 497480 596976 621850 746220 932775 994960 1193952 1243700 1492440 1554625 1865550 1989920 2487400 2984880 3109250 3731100 4663875 4974800 5969760 6218500 7462200 9327750 9949600 12437000 14924400 18655500 24874000 29848800 37311000 49748000 74622000 149244000