Search a number
-
+
268761038 = 27132293917
BaseRepresentation
bin10000000001001…
…111011111001110
3200201201110211112
4100001033133032
51022300323123
642400252022
76442300610
oct2001173716
9621643745
10268761038
11128788167
1276011012
13438b0c00
14279a0db0
15188dcd78
hex1004f7ce

268761038 has 48 divisors (see below), whose sum is σ = 516235680. Its totient is φ = 102630528.

The previous prime is 268761037. The next prime is 268761079. The reversal of 268761038 is 830167862.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 268760986 and 268761004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268761037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66656 + ... + 70572.

It is an arithmetic number, because the mean of its divisors is an integer number (10754910).

Almost surely, 2268761038 is an apocalyptic number.

268761038 is a deficient number, since it is larger than the sum of its proper divisors (247474642).

268761038 is a wasteful number, since it uses less digits than its factorization.

268761038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 268761038 is about 16393.9329631422. The cubic root of 268761038 is about 645.3402751537.

The spelling of 268761038 in words is "two hundred sixty-eight million, seven hundred sixty-one thousand, thirty-eight".

Divisors: 1 2 7 13 14 26 29 58 91 169 182 203 338 377 406 754 1183 2366 2639 3917 4901 5278 7834 9802 27419 34307 50921 54838 68614 101842 113593 227186 356447 661973 712894 795151 1323946 1476709 1590302 2953418 4633811 9267622 10336963 19197217 20673926 38394434 134380519 268761038