Search a number
-
+
10545480 = 23325112663
BaseRepresentation
bin101000001110…
…100101001000
3201211202200100
4220032211020
510144423410
61014005400
7155430561
oct50164510
921752610
1010545480
115a52a80
123646860
132252c3a
141587168
15dd48c0
hexa0e948

10545480 has 96 divisors (see below), whose sum is σ = 37402560. Its totient is φ = 2555520.

The previous prime is 10545467. The next prime is 10545503. The reversal of 10545480 is 8454501.

It is a super-2 number, since 2×105454802 = 222414296860800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2629 + ... + 5291.

It is an arithmetic number, because the mean of its divisors is an integer number (389610).

Almost surely, 210545480 is an apocalyptic number.

10545480 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 10545480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701280).

10545480 is an abundant number, since it is smaller than the sum of its proper divisors (26857080).

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

10545480 is a wasteful number, since it uses less digits than its factorization.

10545480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 10545480 is about 3247.3804827892. The cubic root of 10545480 is about 219.2916611877.

Adding to 10545480 its reverse (8454501), we get a palindrome (18999981).

It can be divided in two parts, 10545 and 480, that added together give a square (11025 = 1052).

The spelling of 10545480 in words is "ten million, five hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 2663 3960 5326 7989 10652 13315 15978 21304 23967 26630 29293 31956 39945 47934 53260 58586 63912 79890 87879 95868 106520 117172 119835 146465 159780 175758 191736 234344 239670 263637 292930 319560 351516 439395 479340 527274 585860 703032 878790 958680 1054548 1171720 1318185 1757580 2109096 2636370 3515160 5272740 10545480