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140024320 = 29583659
BaseRepresentation
bin10000101100010…
…01101000000000
3100202110222020221
420112021220000
5241321234240
621521112424
73320121112
oct1026115000
9322428227
10140024320
1172049387
123aa88714
1323018437
141484d3b2
15c45da4a
hex8589a00

140024320 has 80 divisors (see below), whose sum is σ = 340290720. Its totient is φ = 55250944.

The previous prime is 140024309. The next prime is 140024333. The reversal of 140024320 is 23420041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 140024294 and 140024303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212151 + ... + 212809.

It is an arithmetic number, because the mean of its divisors is an integer number (4253634).

Almost surely, 2140024320 is an apocalyptic number.

140024320 is a gapful number since it is divisible by the number (10) 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 140024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

140024320 is an abundant number, since it is smaller than the sum of its proper divisors (200266400).

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

140024320 is an frugal number, since it uses more digits than its factorization.

140024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 140024320 is about 11833.1872291450. The cubic root of 140024320 is about 519.2794754577.

Adding to 140024320 its reverse (23420041), we get a palindrome (163444361).

The spelling of 140024320 in words is "one hundred forty million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 659 664 830 1280 1318 1328 1660 2560 2636 2656 3295 3320 5272 5312 6590 6640 10544 10624 13180 13280 21088 21248 26360 26560 42176 42496 52720 53120 54697 84352 105440 106240 109394 168704 210880 212480 218788 273485 337408 421760 437576 546970 843520 875152 1093940 1687040 1750304 2187880 3500608 4375760 7001216 8751520 14002432 17503040 28004864 35006080 70012160 140024320