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10083372 = 22313109593
BaseRepresentation
bin100110011101…
…110000101100
3200222021210020
4212131300230
510040131442
61000042140
7151464405
oct46356054
920867706
1010083372
115767872
123463350
1321207c0
1414a69ac
15d429ec
hex99dc2c

10083372 has 48 divisors (see below), whose sum is σ = 25613280. Its totient is φ = 3068928.

The previous prime is 10083341. The next prime is 10083373. The reversal of 10083372 is 27338001.

10083372 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10083373) 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, 16708 + ... + 17300.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 210083372 is an apocalyptic number.

10083372 is a gapful number since it is divisible by the number (12) 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 10083372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806640).

10083372 is an abundant number, since it is smaller than the sum of its proper divisors (15529908).

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

10083372 is a wasteful number, since it uses less digits than its factorization.

10083372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10083372 is about 3175.4325689581. The cubic root of 10083372 is about 216.0405445153.

The spelling of 10083372 in words is "ten million, eighty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 593 654 1186 1308 1417 1779 2372 2834 3558 4251 5668 7116 7709 8502 15418 17004 23127 30836 46254 64637 92508 129274 193911 258548 387822 775644 840281 1680562 2520843 3361124 5041686 10083372