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1226920 = 23537829
BaseRepresentation
bin100101011100010101000
32022100000111
410223202220
5303230140
642144104
713300012
oct4534250
92270014
101226920
11768892
124b2034
1333c5b6
1423d1b2
151937ea
hex12b8a8

1226920 has 32 divisors (see below), whose sum is σ = 2838600. Its totient is φ = 476928.

The previous prime is 1226899. The next prime is 1226959. The reversal of 1226920 is 296221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 47524 = 1086^2 + 218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1226891 and 1226900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1066 + ... + 1894.

21226920 is an apocalyptic number.

1226920 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 1226920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419300).

1226920 is an abundant number, since it is smaller than the sum of its proper divisors (1611680).

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

1226920 is a wasteful number, since it uses less digits than its factorization.

1226920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1226920 is about 1107.6642090453. The cubic root of 1226920 is about 107.0546202630.

The spelling of 1226920 in words is "one million, two hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 829 1480 1658 3316 4145 6632 8290 16580 30673 33160 61346 122692 153365 245384 306730 613460 1226920