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268467870 = 23511978387
BaseRepresentation
bin10000000000000…
…111111010011110
3200201011120200110
4100000013322132
51022211432440
642350110450
76436640106
oct2000077236
9621146613
10268467870
111285a7980
1275aab426
134380a638
1427926206
1518881080
hex10007e9e

268467870 has 64 divisors (see below), whose sum is σ = 710228736. Its totient is φ = 64404480.

The previous prime is 268467841. The next prime is 268467889. The reversal of 268467870 is 78764862.

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, 27817 + ... + 36203.

It is an arithmetic number, because the mean of its divisors is an integer number (11097324).

Almost surely, 2268467870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268467870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355114368).

268467870 is an abundant number, since it is smaller than the sum of its proper divisors (441760866).

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

268467870 is a wasteful number, since it uses less digits than its factorization.

268467870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505.

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 268467870 is about 16384.9891669174. The cubic root of 268467870 is about 645.1055412895.

It can be divided in two parts, 26846 and 7870, that added together give a triangular number (34716 = T263).

The spelling of 268467870 in words is "two hundred sixty-eight million, four hundred sixty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 485 582 970 1067 1455 2134 2910 3201 5335 6402 8387 10670 16005 16774 25161 32010 41935 50322 83870 92257 125805 184514 251610 276771 461285 553542 813539 922570 1383855 1627078 2440617 2767710 4067695 4881234 8135390 8948929 12203085 17897858 24406170 26846787 44744645 53693574 89489290 134233935 268467870