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10387902 = 237289397
BaseRepresentation
bin100111101000…
…000110111110
3201112202112010
4213220012332
510124403102
61010352050
7154203300
oct47500676
921482463
1010387902
115955648
12358b626
1321c92b5
141545970
15da2d6c
hex9e81be

10387902 has 48 divisors (see below), whose sum is σ = 24500880. Its totient is φ = 2927232.

The previous prime is 10387891. The next prime is 10387903. The reversal of 10387902 is 20978301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10387902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387903) 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 23 ways as a sum of consecutive naturals, for example, 25968 + ... + 26364.

It is an arithmetic number, because the mean of its divisors is an integer number (510435).

Almost surely, 210387902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10387902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250440).

10387902 is an abundant number, since it is smaller than the sum of its proper divisors (14112978).

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

10387902 is a wasteful number, since it uses less digits than its factorization.

10387902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10387902 is about 3223.0268382376. The cubic root of 10387902 is about 218.1939048544.

The spelling of 10387902 in words is "ten million, three hundred eighty-seven thousand, nine hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 89 98 147 178 267 294 397 534 623 794 1191 1246 1869 2382 2779 3738 4361 5558 8337 8722 13083 16674 19453 26166 35333 38906 58359 70666 105999 116718 211998 247331 494662 741993 1483986 1731317 3462634 5193951 10387902