Search a number
-
+
1332664960 = 27511217209
BaseRepresentation
bin100111101101110…
…1101101010000000
310102212122101122111
41033123231222000
510212130234320
6340123345104
745011315404
oct11733555200
93385571574
101332664960
11624288a00
12312382194
13183133c63
14c8dc5104
157bee3a5a
hex4f6eda80

1332664960 has 96 divisors (see below), whose sum is σ = 3502062900. Its totient is φ = 484577280.

The previous prime is 1332664937. The next prime is 1332664961. The reversal of 1332664960 is 694662331.

It can be written as a sum of positive squares in 2 ways, for example, as 1320886336 + 11778624 = 36344^2 + 3432^2 .

It is a super-2 number, since 2×13326649602 = 3551991791223603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1332664961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68836 + ... + 86044.

Almost surely, 21332664960 is an apocalyptic number.

1332664960 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 1332664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751031450).

1332664960 is an abundant number, since it is smaller than the sum of its proper divisors (2169397940).

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

1332664960 is a wasteful number, since it uses less digits than its factorization.

1332664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17250 (or 17227 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 1332664960 is about 36505.6839409975. The cubic root of 1332664960 is about 1100.4584755494.

The spelling of 1332664960 in words is "one billion, three hundred thirty-two million, six hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 640 704 880 968 1210 1408 1760 1936 2420 3520 3872 4840 7040 7744 9680 15488 17209 19360 34418 38720 68836 77440 86045 137672 172090 189299 275344 344180 378598 550688 688360 757196 946495 1101376 1376720 1514392 1892990 2082289 2202752 2753440 3028784 3785980 4164578 5506880 6057568 7571960 8329156 10411445 11013760 12115136 15143920 16658312 20822890 24230272 30287840 33316624 41645780 60575680 66633248 83291560 121151360 133266496 166583120 266532992 333166240 666332480 1332664960