Search a number
-
+
1683053060 = 22513192314813
BaseRepresentation
bin110010001010001…
…0101101000000100
311100021221221202112
41210110111220010
511421330144220
6435001400152
756464500143
oct14424255004
94307857675
101683053060
11794048747
123ab799058
1320a8c49b0
1411d75375a
159cb575c5
hex64515a04

1683053060 has 96 divisors (see below), whose sum is σ = 4181103360. Its totient is φ = 563092992.

The previous prime is 1683052979. The next prime is 1683053069. The reversal of 1683053060 is 603503861.

It is not an unprimeable number, because it can be changed into a prime (1683053069) 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 31 ways as a sum of consecutive naturals, for example, 106214 + ... + 121026.

It is an arithmetic number, because the mean of its divisors is an integer number (43553160).

Almost surely, 21683053060 is an apocalyptic number.

1683053060 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 1683053060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090551680).

1683053060 is an abundant number, since it is smaller than the sum of its proper divisors (2498050300).

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

1683053060 is a wasteful number, since it uses less digits than its factorization.

1683053060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14877 (or 14875 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1683053060 is about 41025.0296770155. The cubic root of 1683053060 is about 1189.5040797795.

The spelling of 1683053060 in words is "one billion, six hundred eighty-three million, fifty-three thousand, sixty".

Divisors: 1 2 4 5 10 13 19 20 23 26 38 46 52 65 76 92 95 115 130 190 230 247 260 299 380 437 460 494 598 874 988 1196 1235 1495 1748 2185 2470 2990 4370 4940 5681 5980 8740 11362 14813 22724 28405 29626 56810 59252 74065 113620 148130 192569 281447 296260 340699 385138 562894 681398 770276 962845 1125788 1362796 1407235 1703495 1925690 2814470 3406990 3658811 3851380 4429087 5628940 6473281 6813980 7317622 8858174 12946562 14635244 17716348 18294055 22145435 25893124 32366405 36588110 44290870 64732810 73176220 84152653 88581740 129465620 168305306 336610612 420763265 841526530 1683053060