Search a number
-
+
203679040 = 2651737441
BaseRepresentation
bin11000010001111…
…10010101000000
3112012020222010011
430020332111000
5404120212130
632113314304
75022146305
oct1410762500
9465228104
10203679040
11a4a76094
1258265994
1333274a56
141d09d0ac
1512d3452a
hexc23e540

203679040 has 56 divisors (see below), whose sum is σ = 513554472. Its totient is φ = 76677120.

The previous prime is 203679037. The next prime is 203679067. The reversal of 203679040 is 40976302.

203679040 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 4 ways, for example, as 44515584 + 159163456 = 6672^2 + 12616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 203678993 and 203679011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13281 + ... + 24160.

Almost surely, 2203679040 is an apocalyptic number.

203679040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203679040 is an abundant number, since it is smaller than the sum of its proper divisors (309875432).

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

203679040 is a wasteful number, since it uses less digits than its factorization.

203679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37475 (or 37465 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 203679040 is about 14271.6165867781. The cubic root of 203679040 is about 588.3676414993.

The spelling of 203679040 in words is "two hundred three million, six hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 37441 74882 149764 187205 299528 374410 599056 636497 748820 1198112 1272994 1497640 2396224 2545988 2995280 3182485 5091976 5990560 6364970 10183952 11981120 12729940 20367904 25459880 40735808 50919760 101839520 203679040