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10083480 = 2335117639
BaseRepresentation
bin100110011101…
…110010011000
3200222021221020
4212131302120
510040132410
61000042440
7151464621
oct46356230
920867836
1010083480
115767960
123463420
132120874
1414a6a48
15d42a70
hex99dc98

10083480 has 64 divisors (see below), whose sum is σ = 33004800. Its totient is φ = 2444160.

The previous prime is 10083467. The next prime is 10083487. The reversal of 10083480 is 8438001.

10083480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10083480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500 + ... + 5139.

It is an arithmetic number, because the mean of its divisors is an integer number (515700).

Almost surely, 210083480 is an apocalyptic number.

10083480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10083480 is an abundant number, since it is smaller than the sum of its proper divisors (22921320).

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

10083480 is a wasteful number, since it uses less digits than its factorization.

10083480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10083480 is about 3175.4495744697. The cubic root of 10083480 is about 216.0413158279.

The spelling of 10083480 in words is "ten million, eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7639 15278 22917 30556 38195 45834 61112 76390 84029 91668 114585 152780 168058 183336 229170 252087 305560 336116 420145 458340 504174 672232 840290 916680 1008348 1260435 1680580 2016696 2520870 3361160 5041740 10083480