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1225680 = 24355107
BaseRepresentation
bin100101011001111010000
32022021022120
410223033100
5303210210
642134240
713263261
oct4531720
92267276
101225680
11767965
124b1380
1333bb71
1423c968
15193270
hex12b3d0

1225680 has 40 divisors (see below), whose sum is σ = 3800352. Its totient is φ = 326784.

The previous prime is 1225663. The next prime is 1225687. The reversal of 1225680 is 865221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1225680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225687) 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, 2314 + ... + 2793.

21225680 is an apocalyptic number.

1225680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225680 is an abundant number, since it is smaller than the sum of its proper divisors (2574672).

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

1225680 is a wasteful number, since it uses less digits than its factorization.

1225680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1225680 is about 1107.1043311269. The cubic root of 1225680 is about 107.0185428021.

The spelling of 1225680 in words is "one million, two hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5107 10214 15321 20428 25535 30642 40856 51070 61284 76605 81712 102140 122568 153210 204280 245136 306420 408560 612840 1225680