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10874480 = 245181751
BaseRepresentation
bin101001011110…
…111001110000
3202110110222112
4221132321300
510240440410
61025024452
7161301011
oct51367160
922413875
1010874480
116158181
123785128
132339906
141631008
15e4c105
hexa5ee70

10874480 has 40 divisors (see below), whose sum is σ = 25456704. Its totient is φ = 4320000.

The previous prime is 10874453. The next prime is 10874483. The reversal of 10874480 is 8447801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10874483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14105 + ... + 14855.

Almost surely, 210874480 is an apocalyptic number.

10874480 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 10874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728352).

10874480 is an abundant number, since it is smaller than the sum of its proper divisors (14582224).

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

10874480 is a wasteful number, since it uses less digits than its factorization.

10874480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 10874480 is about 3297.6476464292. The cubic root of 10874480 is about 221.5488497721.

The spelling of 10874480 in words is "ten million, eight hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 751 905 1448 1502 1810 2896 3004 3620 3755 6008 7240 7510 12016 14480 15020 30040 60080 135931 271862 543724 679655 1087448 1359310 2174896 2718620 5437240 10874480