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140427456 = 26313127443
BaseRepresentation
bin10000101111011…
…00000011000000
3100210020110020220
420113230003000
5241422134311
621533503040
73323420331
oct1027540300
9323213226
10140427456
11722a4254
123b041a80
1323129a90
1414916288
15c4dd206
hex85ec0c0

140427456 has 112 divisors (see below), whose sum is σ = 404189184. Its totient is φ = 42771456.

The previous prime is 140427449. The next prime is 140427457. The reversal of 140427456 is 654724041.

It is not an unprimeable number, because it can be changed into a prime (140427457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316771 + ... + 317213.

It is an arithmetic number, because the mean of its divisors is an integer number (3608832).

Almost surely, 2140427456 is an apocalyptic number.

140427456 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 140427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202094592).

140427456 is an abundant number, since it is smaller than the sum of its proper divisors (263761728).

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

140427456 is a wasteful number, since it uses less digits than its factorization.

140427456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 140427456 is about 11850.2091120790. The cubic root of 140427456 is about 519.7773405702. Note that the first 3 decimals are identical.

The spelling of 140427456 in words is "one hundred forty million, four hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 156 192 208 254 312 381 416 443 508 624 762 832 886 1016 1248 1329 1524 1651 1772 2032 2496 2658 3048 3302 3544 4064 4953 5316 5759 6096 6604 7088 8128 9906 10632 11518 12192 13208 14176 17277 19812 21264 23036 24384 26416 28352 34554 39624 42528 46072 52832 56261 69108 79248 85056 92144 105664 112522 138216 158496 168783 184288 225044 276432 316992 337566 368576 450088 552864 675132 731393 900176 1105728 1350264 1462786 1800352 2194179 2700528 2925572 3600704 4388358 5401056 5851144 8776716 10802112 11702288 17553432 23404576 35106864 46809152 70213728 140427456