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140359860 = 22325472353
BaseRepresentation
bin10000101110110…
…11100010110100
3100210010000112100
420113123202310
5241413003420
621532222100
73323016264
oct1027334264
9323100470
10140359860
1172258493
123b00a930
1323105094
14148d97a4
15c4c8190
hex85db8b4

140359860 has 108 divisors (see below), whose sum is σ = 436241988. Its totient is φ = 36529152.

The previous prime is 140359831. The next prime is 140359867. The reversal of 140359860 is 68953041.

140359860 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 598 + 60 = 666.

140359860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53758224 + 86601636 = 7332^2 + 9306^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140359867) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397444 + ... + 397796.

Almost surely, 2140359860 is an apocalyptic number.

140359860 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 140359860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218120994).

140359860 is an abundant number, since it is smaller than the sum of its proper divisors (295882128).

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

140359860 is a wasteful number, since it uses less digits than its factorization.

140359860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 140359860 is about 11847.3566672064. The cubic root of 140359860 is about 519.6939273757.

It can be divided in two parts, 140 and 359860, that added together give a square (360000 = 6002).

The spelling of 140359860 in words is "one hundred forty million, three hundred fifty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 353 423 470 564 705 706 846 940 1059 1410 1412 1692 1765 2115 2118 2209 2820 3177 3530 4230 4236 4418 5295 6354 6627 7060 8460 8836 10590 11045 12708 13254 15885 16591 19881 21180 22090 26508 31770 33135 33182 39762 44180 49773 63540 66270 66364 79524 82955 99405 99546 132540 149319 165910 198810 199092 248865 298638 331820 397620 497730 597276 746595 779777 995460 1493190 1559554 2339331 2986380 3119108 3898885 4678662 7017993 7797770 9357324 11696655 14035986 15595540 23393310 28071972 35089965 46786620 70179930 140359860