Search a number
-
+
103292589060 = 223251573655081
BaseRepresentation
bin110000000110010110…
…1111101010000000100
3100212121122020012022200
41200030231331100010
53143020400322220
6115241342354500
710314454343343
oct1401455752004
9325548205280
10103292589060
113a895a78a91
121802858ba30
1399819c87ab
144ddc46bb5a
152a48326890
hex180cb7d404

103292589060 has 72 divisors (see below), whose sum is σ = 315316613976. Its totient is φ = 27369239040.

The previous prime is 103292589047. The next prime is 103292589061. The reversal of 103292589060 is 60985292301.

103292589060 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 9 + 2 + 589 + 0 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18499808196 + 84792780864 = 136014^2 + 291192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 103292588997 and 103292589015.

It is not an unprimeable number, because it can be changed into a prime (103292589061) 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, 1799281 + ... + 1855800.

Almost surely, 2103292589060 is an apocalyptic number.

103292589060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103292589060 is an abundant number, since it is smaller than the sum of its proper divisors (212024024916).

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

103292589060 is a wasteful number, since it uses less digits than its factorization.

103292589060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655253 (or 3655248 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 103292589060 in words is "one hundred three billion, two hundred ninety-two million, five hundred eighty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 3655081 7310162 10965243 14620324 18275405 21930486 32895729 36550810 43860972 54826215 65791458 73101620 109652430 131582916 164478645 219304860 328957290 573847717 657914580 1147695434 1721543151 2295390868 2869238585 3443086302 5164629453 5738477170 6886172604 8607715755 10329258906 11476954340 17215431510 20658517812 25823147265 34430863020 51646294530 103292589060