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10387076 = 227231272
BaseRepresentation
bin100111100111…
…111010000100
3201112201101112
4213213322010
510124341301
61010344152
7154201010
oct47477204
921481345
1010387076
115954a67
12358b058
1321c8acb
141545540
15da29bb
hex9e7e84

10387076 has 36 divisors (see below), whose sum is σ = 21849408. Its totient is φ = 4224528.

The previous prime is 10387057. The next prime is 10387079. The reversal of 10387076 is 67078301.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387079) 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 11 ways as a sum of consecutive naturals, for example, 81725 + ... + 81851.

It is an arithmetic number, because the mean of its divisors is an integer number (606928).

Almost surely, 210387076 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 10387076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924704).

10387076 is an abundant number, since it is smaller than the sum of its proper divisors (11462332).

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

10387076 is a wasteful number, since it uses less digits than its factorization.

10387076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 10387076 is about 3222.8986952742. The cubic root of 10387076 is about 218.1881214299.

The spelling of 10387076 in words is "ten million, three hundred eighty-seven thousand, seventy-six".

Divisors: 1 2 4 7 14 23 28 46 92 127 161 254 322 508 644 889 1778 2921 3556 5842 11684 16129 20447 32258 40894 64516 81788 112903 225806 370967 451612 741934 1483868 2596769 5193538 10387076