Search a number
-
+
1268280 = 2332513271
BaseRepresentation
bin100110101101000111000
32101102202100
410311220320
5311041110
643103400
713531416
oct4655070
92342670
101268280
11796972
12511b60
13355380
142502b6
151a0bc0
hex135a38

1268280 has 96 divisors (see below), whose sum is σ = 4455360. Its totient is φ = 311040.

The previous prime is 1268279. The next prime is 1268287. The reversal of 1268280 is 828621.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268287) 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, 4545 + ... + 4815.

It is an arithmetic number, because the mean of its divisors is an integer number (46410).

21268280 is an apocalyptic number.

1268280 is a gapful number since it is divisible by the number (10) 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 1268280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227680).

1268280 is an abundant number, since it is smaller than the sum of its proper divisors (3187080).

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

1268280 is a wasteful number, since it uses less digits than its factorization.

1268280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1268280 is about 1126.1793818038. The cubic root of 1268280 is about 108.2443029215.

The spelling of 1268280 in words is "one million, two hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 271 312 360 390 468 520 542 585 780 813 936 1084 1170 1355 1560 1626 2168 2340 2439 2710 3252 3523 4065 4680 4878 5420 6504 7046 8130 9756 10569 10840 12195 14092 16260 17615 19512 21138 24390 28184 31707 32520 35230 42276 48780 52845 63414 70460 84552 97560 105690 126828 140920 158535 211380 253656 317070 422760 634140 1268280