Search a number
-
+
10555506540 = 2232573803311
BaseRepresentation
bin10011101010010100…
…00011111101101100
31000020122001021211200
421311022003331230
5133104202202130
64503225045500
7522401216355
oct116512037554
930218037750
1010555506540
114527343327
122067026890
13cc2b08177
14721c46d2c
1541ba3c760
hex275283f6c

10555506540 has 72 divisors (see below), whose sum is σ = 32457018048. Its totient is φ = 2776239360.

The previous prime is 10555506529. The next prime is 10555506547. The reversal of 10555506540 is 4560555501.

10555506540 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 550 + 65 + 40 = 666.

It is a super-2 number, since 2×105555065402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10555506495 and 10555506504.

It is not an unprimeable number, because it can be changed into a prime (10555506547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388516 + ... + 414795.

Almost surely, 210555506540 is an apocalyptic number.

10555506540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10555506540 is an abundant number, since it is smaller than the sum of its proper divisors (21901511508).

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

10555506540 is a wasteful number, since it uses less digits than its factorization.

10555506540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803399 (or 803394 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 10555506540 in words is "ten billion, five hundred fifty-five million, five hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 803311 1606622 2409933 3213244 4016555 4819866 7229799 8033110 9639732 12049665 14459598 16066220 24099330 28919196 36148995 48198660 58641703 72297990 117283406 144595980 175925109 234566812 293208515 351850218 527775327 586417030 703700436 879625545 1055550654 1172834060 1759251090 2111101308 2638876635 3518502180 5277753270 10555506540