Search a number
-
+
140214600 = 233252611277
BaseRepresentation
bin10000101101110…
…00000101001000
3100202211122021100
420112320011020
5241343331400
621525141400
73321542631
oct1026700510
9322748240
10140214600
1172169339
123ab5a860
1323083c26
141489c888
15c49a100
hex85b8148

140214600 has 144 divisors (see below), whose sum is σ = 478981620. Its totient is φ = 36748800.

The previous prime is 140214577. The next prime is 140214617. The reversal of 140214600 is 6412041.

140214600 is a `hidden beast` number, since 1 + 40 + 21 + 4 + 600 = 666.

140214600 is digitally balanced in base 3, 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 6 ways, for example, as 23444964 + 116769636 = 4842^2 + 10806^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109162 + ... + 110438.

Almost surely, 2140214600 is an apocalyptic number.

140214600 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 140214600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239490810).

140214600 is an abundant number, since it is smaller than the sum of its proper divisors (338767020).

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

140214600 is a wasteful number, since it uses less digits than its factorization.

140214600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140214600 is about 11841.2245988327. The cubic root of 140214600 is about 519.5145864612.

Adding to 140214600 its reverse (6412041), we get a palindrome (146626641).

The spelling of 140214600 in words is "one hundred forty million, two hundred fourteen thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 61 72 75 90 100 120 122 150 180 183 200 225 244 300 305 360 366 450 488 549 600 610 732 900 915 1098 1220 1277 1464 1525 1800 1830 2196 2440 2554 2745 3050 3660 3831 4392 4575 5108 5490 6100 6385 7320 7662 9150 10216 10980 11493 12200 12770 13725 15324 18300 19155 21960 22986 25540 27450 30648 31925 36600 38310 45972 51080 54900 57465 63850 76620 77897 91944 95775 109800 114930 127700 153240 155794 191550 229860 233691 255400 287325 311588 383100 389485 459720 467382 574650 623176 701073 766200 778970 934764 1149300 1168455 1402146 1557940 1869528 1947425 2298600 2336910 2804292 3115880 3505365 3894850 4673820 5608584 5842275 7010730 7789700 9347640 11684550 14021460 15579400 17526825 23369100 28042920 35053650 46738200 70107300 140214600