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10037244 = 2237192331
BaseRepresentation
bin100110010010…
…011111111100
3200212221111210
4212102133330
510032142434
6555044420
7151213050
oct46223774
920787453
1010037244
115736148
123440710
1321057c9
141493c60
15d33ee9
hex9927fc

10037244 has 72 divisors (see below), whose sum is σ = 28334208. Its totient is φ = 2708640.

The previous prime is 10037213. The next prime is 10037267. The reversal of 10037244 is 44273001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10037244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30159 + ... + 30489.

Almost surely, 210037244 is an apocalyptic number.

10037244 is a gapful number since it is divisible by the number (14) 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 10037244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14167104).

10037244 is an abundant number, since it is smaller than the sum of its proper divisors (18296964).

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

10037244 is a wasteful number, since it uses less digits than its factorization.

10037244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 10037244 is about 3168.1609807584. The cubic root of 10037244 is about 215.7106035239.

The spelling of 10037244 in words is "ten million, thirty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 331 361 399 532 662 722 798 993 1083 1324 1444 1596 1986 2166 2317 2527 3972 4332 4634 5054 6289 6951 7581 9268 10108 12578 13902 15162 18867 25156 27804 30324 37734 44023 75468 88046 119491 132069 176092 238982 264138 358473 477964 528276 716946 836437 1433892 1672874 2509311 3345748 5018622 10037244