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140807296 = 277295419
BaseRepresentation
bin10000110010010…
…00110010000000
3100210221202022001
420121020302000
5242021313141
621545553344
73326561620
oct1031106200
9323852261
10140807296
1172533673
123b1a5854
1323230936
14149b4880
15c565a31
hex8648c80

140807296 has 64 divisors (see below), whose sum is σ = 331704000. Its totient is φ = 58254336.

The previous prime is 140807287. The next prime is 140807297. The reversal of 140807296 is 692708041.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (140807297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23275 + ... + 28693.

It is an arithmetic number, because the mean of its divisors is an integer number (5182875).

Almost surely, 2140807296 is an apocalyptic number.

140807296 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 140807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165852000).

140807296 is an abundant number, since it is smaller than the sum of its proper divisors (190896704).

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

140807296 is an equidigital number, since it uses as much as digits as its factorization.

140807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 140807296 is about 11866.2250105078. The cubic root of 140807296 is about 520.2455644899.

The spelling of 140807296 in words is "one hundred forty million, eight hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 5419 6496 10838 12992 21676 25984 37933 43352 75866 86704 151732 157151 173408 303464 314302 346816 606928 628604 693632 1100057 1213856 1257208 2200114 2427712 2514416 4400228 4855424 5028832 8800456 10057664 17600912 20115328 35201824 70403648 140807296