Search a number
-
+
140986576 = 24173714009
BaseRepresentation
bin10000110011101…
…00100011010000
3100211021212020001
420121310203100
5242043032301
621553455344
73331236403
oct1031644320
9324255201
10140986576
1172646335
123b271554
1323294413
1414a1dd3a
15c59dc01
hex86748d0

140986576 has 40 divisors (see below), whose sum is σ = 297068040. Its totient is φ = 64548864.

The previous prime is 140986567. The next prime is 140986589. The reversal of 140986576 is 675689041.

It can be written as a sum of positive squares in 4 ways, for example, as 89491600 + 51494976 = 9460^2 + 7176^2 .

It is a super-2 number, since 2×1409865762 = 39754429224407552, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3060 + ... + 17068.

It is an arithmetic number, because the mean of its divisors is an integer number (7426701).

Almost surely, 2140986576 is an apocalyptic number.

140986576 is a gapful number since it is divisible by the number (16) 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 140986576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148534020).

140986576 is an abundant number, since it is smaller than the sum of its proper divisors (156081464).

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

140986576 is a wasteful number, since it uses less digits than its factorization.

140986576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 140986576 is about 11873.7768212140. The cubic root of 140986576 is about 520.4662681771.

The spelling of 140986576 in words is "one hundred forty million, nine hundred eighty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 5032 10064 14009 28018 56036 112072 224144 238153 476306 518333 952612 1036666 1905224 2073332 3810448 4146664 8293328 8811661 17623322 35246644 70493288 140986576