Search a number
-
+
268401501 = 32102129209
BaseRepresentation
bin11111111111101…
…11101101011101
3200201001012122100
433333313231131
51022202322001
642344435313
76436242444
oct1777675535
9621035570
10268401501
11128562025
1275a78b39
13437b6374
1427909d5b
151886b586
hexfff7b5d

268401501 has 12 divisors (see below), whose sum is σ = 388084060. Its totient is φ = 178752960.

The previous prime is 268401481. The next prime is 268401517. The reversal of 268401501 is 105104862.

It can be written as a sum of positive squares in 2 ways, for example, as 133957476 + 134444025 = 11574^2 + 11595^2 .

It is not a de Polignac number, because 268401501 - 29 = 268400989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268401521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5416 + ... + 23793.

Almost surely, 2268401501 is an apocalyptic number.

It is an amenable number.

268401501 is a deficient number, since it is larger than the sum of its proper divisors (119682559).

268401501 is a wasteful number, since it uses less digits than its factorization.

268401501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30236 (or 30233 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 268401501 is about 16382.9637428641. The cubic root of 268401501 is about 645.0523772141.

The spelling of 268401501 in words is "two hundred sixty-eight million, four hundred one thousand, five hundred one".

Divisors: 1 3 9 1021 3063 9189 29209 87627 262881 29822389 89467167 268401501