Search a number
-
+
140192640 = 2733571961
BaseRepresentation
bin10000101101100…
…10101110000000
3100202210112011000
420112302232000
5241342131030
621524452000
73321421620
oct1026625600
9322715130
10140192640
1172153895
123ab4a000
1323076c33
1414894880
15c493860
hex85b2b80

140192640 has 512 divisors, whose sum is σ = 607104000. Its totient is φ = 29859840.

The previous prime is 140192627. The next prime is 140192671. The reversal of 140192640 is 46291041.

140192640 is a `hidden beast` number, since 1 + 4 + 0 + 19 + 2 + 640 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 2298210 + ... + 2298270.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2140192640 is an apocalyptic number.

140192640 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 140192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552000).

140192640 is an abundant number, since it is smaller than the sum of its proper divisors (466911360).

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

140192640 is a wasteful number, since it uses less digits than its factorization.

140192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

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

The square root of 140192640 is about 11840.2972935649. The cubic root of 140192640 is about 519.4874634275.

The spelling of 140192640 in words is "one hundred forty million, one hundred ninety-two thousand, six hundred forty".