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140323560 = 233513293307
BaseRepresentation
bin10000101110100…
…10101011101000
3100210001011201220
420113102223220
5241410323220
621531342040
73322505406
oct1027225350
9323034656
10140323560
1172233193
123abb1920
13230c16c0
14148ca476
15c4bc540
hex85d2ae8

140323560 has 128 divisors (see below), whose sum is σ = 456382080. Its totient is φ = 34311168.

The previous prime is 140323553. The next prime is 140323567. The reversal of 140323560 is 65323041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140323553) and next prime (140323567).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140323560.

It is not an unprimeable number, because it can be changed into a prime (140323567) 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 31 ways as a sum of consecutive naturals, for example, 456927 + ... + 457233.

It is an arithmetic number, because the mean of its divisors is an integer number (3565485).

Almost surely, 2140323560 is an apocalyptic number.

140323560 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 140323560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228191040).

140323560 is an abundant number, since it is smaller than the sum of its proper divisors (316058520).

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

140323560 is a wasteful number, since it uses less digits than its factorization.

140323560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 140323560 is about 11845.8245808386. The cubic root of 140323560 is about 519.6491222676.

The spelling of 140323560 in words is "one hundred forty million, three hundred twenty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 293 307 312 390 520 586 614 780 879 921 1172 1228 1465 1535 1560 1758 1842 2344 2456 2930 3070 3516 3684 3809 3991 4395 4605 5860 6140 7032 7368 7618 7982 8790 9210 11427 11720 11973 12280 15236 15964 17580 18420 19045 19955 22854 23946 30472 31928 35160 36840 38090 39910 45708 47892 57135 59865 76180 79820 89951 91416 95784 114270 119730 152360 159640 179902 228540 239460 269853 359804 449755 457080 478920 539706 719608 899510 1079412 1169363 1349265 1799020 2158824 2338726 2698530 3508089 3598040 4677452 5397060 5846815 7016178 9354904 10794120 11693630 14032356 17540445 23387260 28064712 35080890 46774520 70161780 140323560