Search a number
-
+
131950240 = 2551934273
BaseRepresentation
bin1111101110101…
…10011010100000
3100012021202200221
413313112122200
5232234401430
621032052424
73161362402
oct767263240
9305252627
10131950240
1168534194
1238234114
132144c386
141374ab72
15b8b657a
hex7dd66a0

131950240 has 48 divisors (see below), whose sum is σ = 313420968. Its totient is φ = 52494336.

The previous prime is 131950237. The next prime is 131950271. The reversal of 131950240 is 42059131.

It can be written as a sum of positive squares in 4 ways, for example, as 74857104 + 57093136 = 8652^2 + 7556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28744 + ... + 33016.

Almost surely, 2131950240 is an apocalyptic number.

131950240 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 131950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156710484).

131950240 is an abundant number, since it is smaller than the sum of its proper divisors (181470728).

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

131950240 is a wasteful number, since it uses less digits than its factorization.

131950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 131950240 is about 11486.9595629131. The cubic root of 131950240 is about 509.1003490828.

The spelling of 131950240 in words is "one hundred thirty-one million, nine hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1930 3088 3860 4273 6176 7720 8546 15440 17092 21365 30880 34184 42730 68368 85460 136736 170920 341840 683680 824689 1649378 3298756 4123445 6597512 8246890 13195024 16493780 26390048 32987560 65975120 131950240