Search a number
-
+
10022672 = 2411231167
BaseRepresentation
bin100110001110…
…111100010000
3200212012112002
4212032330100
510031211142
6554453132
7151122422
oct46167420
920765462
1010022672
115726200
1234341a8
1320cbc9a
14148c812
15d2ea32
hex98ef10

10022672 has 60 divisors (see below), whose sum is σ = 22165248. Its totient is φ = 4382400.

The previous prime is 10022669. The next prime is 10022689. The reversal of 10022672 is 27622001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59933 + ... + 60099.

Almost surely, 210022672 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 10022672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082624).

10022672 is an abundant number, since it is smaller than the sum of its proper divisors (12142576).

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

10022672 is a wasteful number, since it uses less digits than its factorization.

10022672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10022672 is about 3165.8603885832. The cubic root of 10022672 is about 215.6061639221.

Adding to 10022672 its reverse (27622001), we get a palindrome (37644673).

The spelling of 10022672 in words is "ten million, twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 167 176 242 248 334 341 484 496 668 682 968 1336 1364 1837 1936 2672 2728 3674 3751 5177 5456 7348 7502 10354 14696 15004 20207 20708 29392 30008 40414 41416 56947 60016 80828 82832 113894 161656 227788 323312 455576 626417 911152 1252834 2505668 5011336 10022672