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151254040 = 2357975569
BaseRepresentation
bin10010000001111…
…11010000011000
3101112121111112111
421000333100120
5302210112130
623001522104
73514431610
oct1100772030
9345544474
10151254040
1178419443
12427a3334
132544a942
1416133a40
15d42b02a
hex903f418

151254040 has 64 divisors (see below), whose sum is σ = 393019200. Its totient is φ = 51314688.

The previous prime is 151254031. The next prime is 151254097. The reversal of 151254040 is 40452151.

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 15 ways as a sum of consecutive naturals, for example, 24376 + ... + 29944.

It is an arithmetic number, because the mean of its divisors is an integer number (6140925).

Almost surely, 2151254040 is an apocalyptic number.

151254040 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 151254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196509600).

151254040 is an abundant number, since it is smaller than the sum of its proper divisors (241765160).

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

151254040 is a wasteful number, since it uses less digits than its factorization.

151254040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 151254040 is about 12298.5381245089. The cubic root of 151254040 is about 532.8058621791.

The spelling of 151254040 in words is "one hundred fifty-one million, two hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 679 776 970 1358 1940 2716 3395 3880 5432 5569 6790 11138 13580 22276 27160 27845 38983 44552 55690 77966 111380 155932 194915 222760 311864 389830 540193 779660 1080386 1559320 2160772 2700965 3781351 4321544 5401930 7562702 10803860 15125404 18906755 21607720 30250808 37813510 75627020 151254040