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1107920 = 245111259
BaseRepresentation
bin100001110011111010000
32002021210002
410032133100
5240423140
635425132
712263042
oct4163720
92067702
101107920
11697440
124551a8
132ca398
1420ba92
1516d415
hex10e7d0

1107920 has 40 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 402560.

The previous prime is 1107917. The next prime is 1107923. The reversal of 1107920 is 297011.

It is an interprime number because it is at equal distance from previous prime (1107917) and next prime (1107923).

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 1107892 and 1107901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107923) 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, 251 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

21107920 is an apocalyptic number.

1107920 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 1107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1107920 is an abundant number, since it is smaller than the sum of its proper divisors (1704400).

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

1107920 is a wasteful number, since it uses less digits than its factorization.

1107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1107920 is about 1052.5777880993. The cubic root of 1107920 is about 103.4751665470.

The spelling of 1107920 in words is "one million, one hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1259 2518 5036 6295 10072 12590 13849 20144 25180 27698 50360 55396 69245 100720 110792 138490 221584 276980 553960 1107920