Search a number
-
+
151188390 = 23353131789
BaseRepresentation
bin10010000001011…
…11001110100110
3101112111011111000
421000233032212
5302201012030
623000254130
73514036323
oct1100571646
9345434430
10151188390
1178384091
1242771346
1325426ab2
1416117b4a
15d416860
hex902f3a6

151188390 has 64 divisors (see below), whose sum is σ = 404683200. Its totient is φ = 40165632.

The previous prime is 151188379. The next prime is 151188391. The reversal of 151188390 is 93881151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151188391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83616 + ... + 85404.

It is an arithmetic number, because the mean of its divisors is an integer number (6323175).

Almost surely, 2151188390 is an apocalyptic number.

151188390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151188390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202341600).

151188390 is an abundant number, since it is smaller than the sum of its proper divisors (253494810).

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

151188390 is a wasteful number, since it uses less digits than its factorization.

151188390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 151188390 is about 12295.8688184284. The cubic root of 151188390 is about 532.7287650279.

The spelling of 151188390 in words is "one hundred fifty-one million, one hundred eighty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 313 626 939 1565 1789 1878 2817 3130 3578 4695 5367 5634 8451 8945 9390 10734 14085 16101 16902 17890 26835 28170 32202 42255 48303 53670 80505 84510 96606 161010 241515 483030 559957 1119914 1679871 2799785 3359742 5039613 5599570 8399355 10079226 15118839 16798710 25198065 30237678 50396130 75594195 151188390