Search a number
-
+
10738860 = 22351153307
BaseRepresentation
bin101000111101…
…110010101100
3202012120221120
4220331302230
510222120420
61022100540
7160164426
oct50756254
922176846
1010738860
1160752a0
12371a750
1322bcc72
1415d7816
15e21d40
hexa3dcac

10738860 has 96 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 2545920.

The previous prime is 10738859. The next prime is 10738891. The reversal of 10738860 is 6883701.

It is a super-2 number, since 2×107388602 = 230646228199200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34827 + ... + 35133.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

Almost surely, 210738860 is an apocalyptic number.

10738860 is a gapful number since it is divisible by the number (10) 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 10738860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

10738860 is an abundant number, since it is smaller than the sum of its proper divisors (22791252).

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

10738860 is a wasteful number, since it uses less digits than its factorization.

10738860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10738860 is about 3277.0199877328. The cubic root of 10738860 is about 220.6239860905.

The spelling of 10738860 in words is "ten million, seven hundred thirty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 307 318 330 530 583 614 636 660 795 921 1060 1166 1228 1535 1590 1749 1842 2332 2915 3070 3180 3377 3498 3684 4605 5830 6140 6754 6996 8745 9210 10131 11660 13508 16271 16885 17490 18420 20262 32542 33770 34980 40524 48813 50655 65084 67540 81355 97626 101310 162710 178981 195252 202620 244065 325420 357962 488130 536943 715924 894905 976260 1073886 1789810 2147772 2684715 3579620 5369430 10738860