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140463456 = 2537434861
BaseRepresentation
bin10000101111101…
…00110101100000
3100210022021122020
420113310311200
5241424312311
621534341440
73323630310
oct1027646540
9323267566
10140463456
1172319301
123b05a880
1323140293
1414925440
15c4e8c06
hex85f4d60

140463456 has 96 divisors (see below), whose sum is σ = 431278848. Its totient is φ = 39191040.

The previous prime is 140463451. The next prime is 140463487. The reversal of 140463456 is 654364041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140463451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26466 + ... + 31326.

It is an arithmetic number, because the mean of its divisors is an integer number (4492488).

Almost surely, 2140463456 is an apocalyptic number.

140463456 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 140463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215639424).

140463456 is an abundant number, since it is smaller than the sum of its proper divisors (290815392).

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

140463456 is a wasteful number, since it uses less digits than its factorization.

140463456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 140463456 is about 11851.7279752785. The cubic root of 140463456 is about 519.8217535030.

The spelling of 140463456 in words is "one hundred forty million, four hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 4861 7224 9632 9722 14448 14583 19444 28896 29166 34027 38888 58332 68054 77776 102081 116664 136108 155552 204162 209023 233328 272216 408324 418046 466656 544432 627069 816648 836092 1088864 1254138 1463161 1633296 1672184 2508276 2926322 3266592 3344368 4389483 5016552 5852644 6688736 8778966 10033104 11705288 17557932 20066208 23410576 35115864 46821152 70231728 140463456