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1225920 = 26351277
BaseRepresentation
bin100101011010011000000
32022021122110
410223103000
5303212140
642135320
713264053
oct4532300
92267573
101225920
11768063
124b1540
1333bcc7
1423ca9a
15193380
hex12b4c0

1225920 has 56 divisors (see below), whose sum is σ = 3895344. Its totient is φ = 326656.

The previous prime is 1225919. The next prime is 1225927. The reversal of 1225920 is 295221.

It is not an unprimeable number, because it can be changed into a prime (1225927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 1598.

21225920 is an apocalyptic number.

1225920 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 1225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947672).

1225920 is an abundant number, since it is smaller than the sum of its proper divisors (2669424).

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

1225920 is a wasteful number, since it uses less digits than its factorization.

1225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1225920 is about 1107.2127166900. The cubic root of 1225920 is about 107.0255274348.

It can be divided in two parts, 1225 and 920, that added together give a triangular number (2145 = T65).

The spelling of 1225920 in words is "one million, two hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1277 2554 3831 5108 6385 7662 10216 12770 15324 19155 20432 25540 30648 38310 40864 51080 61296 76620 81728 102160 122592 153240 204320 245184 306480 408640 612960 1225920