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1226160 = 2432513131
BaseRepresentation
bin100101011010110110000
32022021222100
410223112300
5303214120
642140400
713264545
oct4532660
92267870
101226160
11768261
124b1700
1333c150
1423cbcc
15193490
hex12b5b0

1226160 has 120 divisors (see below), whose sum is σ = 4468464. Its totient is φ = 299520.

The previous prime is 1226117. The next prime is 1226179. The reversal of 1226160 is 616221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9295 + ... + 9425.

21226160 is an apocalyptic number.

1226160 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 1226160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234232).

1226160 is an abundant number, since it is smaller than the sum of its proper divisors (3242304).

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

1226160 is a wasteful number, since it uses less digits than its factorization.

1226160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1226160 is about 1107.3210916442. The cubic root of 1226160 is about 107.0325111560.

1226160 divided by its product of nonzero digits (144) gives a triangular number (8515 = T130).

It can be divided in two parts, 12261 and 60, that added together give a palindrome (12321).

The spelling of 1226160 in words is "one million, two hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 131 144 156 180 195 208 234 240 260 262 312 360 390 393 468 520 524 585 624 655 720 780 786 936 1040 1048 1170 1179 1310 1560 1572 1703 1872 1965 2096 2340 2358 2620 3120 3144 3406 3930 4680 4716 5109 5240 5895 6288 6812 7860 8515 9360 9432 10218 10480 11790 13624 15327 15720 17030 18864 20436 23580 25545 27248 30654 31440 34060 40872 47160 51090 61308 68120 76635 81744 94320 102180 122616 136240 153270 204360 245232 306540 408720 613080 1226160