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10272996 = 22321923653
BaseRepresentation
bin100111001100…
…000011100100
3201022220220100
4213030003210
510112213441
61004104100
7153214266
oct47140344
921286810
1010272996
115887288
123535030
132188bc6
141515b36
15d7dcb6
hex9cc0e4

10272996 has 72 divisors (see below), whose sum is σ = 28566720. Its totient is φ = 3098304.

The previous prime is 10272991. The next prime is 10273027. The reversal of 10272996 is 69927201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10272996.

It is not an unprimeable number, because it can be changed into a prime (10272991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15406 + ... + 16058.

It is an arithmetic number, because the mean of its divisors is an integer number (396760).

Almost surely, 210272996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10272996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283360).

10272996 is an abundant number, since it is smaller than the sum of its proper divisors (18293724).

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

10272996 is a wasteful number, since it uses less digits than its factorization.

10272996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10272996 is about 3205.1514784796. The cubic root of 10272996 is about 217.3864012413.

The spelling of 10272996 in words is "ten million, two hundred seventy-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 653 684 828 874 1306 1311 1748 1959 2612 2622 3918 3933 5244 5877 7836 7866 11754 12407 15019 15732 23508 24814 30038 37221 45057 49628 60076 74442 90114 111663 135171 148884 180228 223326 270342 285361 446652 540684 570722 856083 1141444 1712166 2568249 3424332 5136498 10272996