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140066496 = 263441659
BaseRepresentation
bin10000101100100…
…11111011000000
3100202120010010000
420112103323000
5241324111441
621522040000
73320355063
oct1026237300
9322503100
10140066496
1172078039
123aaa9000
13230316ab
14148608da
15c46b2b6
hex8593ec0

140066496 has 140 divisors (see below), whose sum is σ = 425973240. Its totient is φ = 45480960.

The previous prime is 140066489. The next prime is 140066503. The reversal of 140066496 is 694660041.

140066496 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 649 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (140066489) and next prime (140066503).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 140066496.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212215 + ... + 212873.

It is an arithmetic number, because the mean of its divisors is an integer number (3042666).

Almost surely, 2140066496 is an apocalyptic number.

140066496 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 140066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212986620).

140066496 is an abundant number, since it is smaller than the sum of its proper divisors (285906744).

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

140066496 is an equidigital number, since it uses as much as digits as its factorization.

140066496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 140066496 is about 11834.9692014808. The cubic root of 140066496 is about 519.3316067175.

It can be divided in two parts, 14006 and 6496, that added together give a palindrome (20502).

The spelling of 140066496 in words is "one hundred forty million, sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 144 162 164 192 216 246 288 324 328 369 432 492 576 648 656 659 738 864 984 1107 1296 1312 1318 1476 1728 1968 1977 2214 2592 2624 2636 2952 3321 3936 3954 4428 5184 5272 5904 5931 6642 7872 7908 8856 10544 11808 11862 13284 15816 17712 17793 21088 23616 23724 26568 27019 31632 35424 35586 42176 47448 53136 53379 54038 63264 70848 71172 81057 94896 106272 106758 108076 126528 142344 162114 189792 212544 213516 216152 243171 284688 324228 379584 427032 432304 486342 569376 648456 729513 854064 864608 972684 1138752 1296912 1459026 1708128 1729216 1945368 2188539 2593824 2918052 3416256 3890736 4377078 5187648 5836104 7781472 8754156 11672208 15562944 17508312 23344416 35016624 46688832 70033248 140066496