Search a number
-
+
10379952 = 2432116553
BaseRepresentation
bin100111100110…
…001010110000
3201112100121200
4213212022300
510124124302
61010251200
7154141152
oct47461260
921470550
1010379952
11594a680
123586b00
1321c57ab
141542ad2
15da081c
hex9e62b0

10379952 has 60 divisors (see below), whose sum is σ = 31695144. Its totient is φ = 3144960.

The previous prime is 10379927. The next prime is 10379959. The reversal of 10379952 is 25997301.

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

It is not an unprimeable number, because it can be changed into a prime (10379959) by changing a digit.

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, 1693 + ... + 4860.

Almost surely, 210379952 is an apocalyptic number.

10379952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10379952 is an abundant number, since it is smaller than the sum of its proper divisors (21315192).

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

10379952 is a wasteful number, since it uses less digits than its factorization.

10379952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 10379952 is about 3221.7932894585. The cubic root of 10379952 is about 218.1382284131.

The spelling of 10379952 in words is "ten million, three hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6553 13106 19659 26212 39318 52424 58977 72083 78636 104848 117954 144166 157272 216249 235908 288332 314544 432498 471816 576664 648747 864996 943632 1153328 1297494 1729992 2594988 3459984 5189976 10379952