Search a number
-
+
140019264 = 26327211241
BaseRepresentation
bin10000101100010…
…00011001000000
3100202110201022200
420112020121000
5241321104024
621521033200
73320100300
oct1026103100
9322421280
10140019264
1172045600
123aa85800
1323016048
141484b600
15c45c2c9
hex8588640

140019264 has 378 divisors, whose sum is σ = 525681702. Its totient is φ = 35481600.

The previous prime is 140019233. The next prime is 140019277. The reversal of 140019264 is 462910041.

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 54641664 = 9240^2 + 7392^2 .

It is a super-2 number, since 2×1400192642 = 39210788582203392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3415084 + ... + 3415124.

Almost surely, 2140019264 is an apocalyptic number.

140019264 is a gapful number since it is divisible by the number (14) 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 140019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262840851).

140019264 is an abundant number, since it is smaller than the sum of its proper divisors (385662438).

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

140019264 is a wasteful number, since it uses less digits than its factorization.

140019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 140019264 is about 11832.9735907759. The cubic root of 140019264 is about 519.2732253324.

The spelling of 140019264 in words is "one hundred forty million, nineteen thousand, two hundred sixty-four".