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140124320 = 2557261293
BaseRepresentation
bin10000101101000…
…10000010100000
3100202200001102122
420112202002200
5241332434240
621523203412
73321015500
oct1026420240
9322601378
10140124320
1172107526
123ab16568
1323051acb
1414877a00
15c47d4b5
hex85a20a0

140124320 has 144 divisors (see below), whose sum is σ = 392740488. Its totient is φ = 47093760.

The previous prime is 140124301. The next prime is 140124329. The reversal of 140124320 is 23421041.

It can be written as a sum of positive squares in 4 ways, for example, as 109077136 + 31047184 = 10444^2 + 5572^2 .

It is not an unprimeable number, because it can be changed into a prime (140124329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478094 + ... + 478386.

Almost surely, 2140124320 is an apocalyptic number.

140124320 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 140124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196370244).

140124320 is an abundant number, since it is smaller than the sum of its proper divisors (252616168).

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

140124320 is a wasteful number, since it uses less digits than its factorization.

140124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 140124320 is about 11837.4118792919. The cubic root of 140124320 is about 519.4030625384.

Adding to 140124320 its reverse (23421041), we get a palindrome (163545361).

The spelling of 140124320 in words is "one hundred forty million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 61 70 80 98 112 122 140 160 196 224 244 245 280 293 305 392 427 488 490 560 586 610 784 854 976 980 1120 1172 1220 1465 1568 1708 1952 1960 2051 2135 2344 2440 2930 2989 3416 3920 4102 4270 4688 4880 5860 5978 6832 7840 8204 8540 9376 9760 10255 11720 11956 13664 14357 14945 16408 17080 17873 20510 23440 23912 28714 29890 32816 34160 35746 41020 46880 47824 57428 59780 65632 68320 71492 71785 82040 89365 95648 114856 119560 125111 142984 143570 164080 178730 229712 239120 250222 285968 287140 328160 357460 459424 478240 500444 571936 574280 625555 714920 875777 1000888 1148560 1251110 1429840 1751554 2001776 2297120 2502220 2859680 3503108 4003552 4378885 5004440 7006216 8757770 10008880 14012432 17515540 20017760 28024864 35031080 70062160 140124320