Search a number
-
+
207014640 = 24357149827
BaseRepresentation
bin11000101011011…
…00101011110000
3112102112102200220
430111230223300
5410443432030
632313013040
75062411140
oct1425545360
9472472626
10207014640
11a6944188
12593b4180
1333b72091
141d6ca920
1513292a10
hexc56caf0

207014640 has 160 divisors (see below), whose sum is σ = 739238400. Its totient is φ = 46943232.

The previous prime is 207014611. The next prime is 207014659. The reversal of 207014640 is 46410702.

207014640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2070146402 = 85710122348659200, which contains 22 as substring.

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 207014640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249907 + ... + 250733.

It is an arithmetic number, because the mean of its divisors is an integer number (4620240).

Almost surely, 2207014640 is an apocalyptic number.

207014640 is a gapful number since it is divisible by the number (20) 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 207014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369619200).

207014640 is an abundant number, since it is smaller than the sum of its proper divisors (532223760).

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

207014640 is a wasteful number, since it uses less digits than its factorization.

207014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 207014640 is about 14388.0033361130. The cubic root of 207014640 is about 591.5621153180.

The spelling of 207014640 in words is "two hundred seven million, fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 149 168 210 240 280 298 336 420 447 560 596 745 827 840 894 1043 1192 1490 1654 1680 1788 2086 2235 2384 2481 2980 3129 3308 3576 4135 4172 4470 4962 5215 5789 5960 6258 6616 7152 8270 8344 8940 9924 10430 11578 11920 12405 12516 13232 15645 16540 16688 17367 17880 19848 20860 23156 24810 25032 28945 31290 33080 34734 35760 39696 41720 46312 49620 50064 57890 62580 66160 69468 83440 86835 92624 99240 115780 123223 125160 138936 173670 198480 231560 246446 250320 277872 347340 369669 463120 492892 616115 694680 739338 862561 985784 1232230 1389360 1478676 1725122 1848345 1971568 2464460 2587683 2957352 3450244 3696690 4312805 4928920 5175366 5914704 6900488 7393380 8625610 9857840 10350732 12938415 13800976 14786760 17251220 20701464 25876830 29573520 34502440 41402928 51753660 69004880 103507320 207014640