Search a number
-
+
151781040 = 2434559397
BaseRepresentation
bin10010000101111…
…11111010110000
3101120121021110000
421002333322300
5302323443130
623021110000
73522055215
oct1102777260
9346537400
10151781040
1178749384
12429b8300
13255a3788
141622db0c
15d4d2260
hex90bfeb0

151781040 has 200 divisors, whose sum is σ = 537443280. Its totient is φ = 39688704.

The previous prime is 151781033. The next prime is 151781051. The reversal of 151781040 is 40187151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 151780995 and 151781013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382122 + ... + 382518.

Almost surely, 2151781040 is an apocalyptic number.

151781040 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 151781040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268721640).

151781040 is an abundant number, since it is smaller than the sum of its proper divisors (385662240).

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

151781040 is a wasteful number, since it uses less digits than its factorization.

151781040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 151781040 is about 12319.9448050712. The cubic root of 151781040 is about 533.4239464096.

The spelling of 151781040 in words is "one hundred fifty-one million, seven hundred eighty-one thousand, forty".