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1314969660 = 223358927361
BaseRepresentation
bin100111001100000…
…1101100000111100
310101122100101021000
41032120031200330
510143113012120
6334252210300
744405025534
oct11630154074
93348311230
101314969660
116152a2194
12308469990
1317c579874
14c68da4c4
157a69a990
hex4e60d83c

1314969660 has 96 divisors (see below), whose sum is σ = 4137134400. Its totient is φ = 346705920.

The previous prime is 1314969631. The next prime is 1314969679. The reversal of 1314969660 is 669694131.

1314969660 is a `hidden beast` number, since 13 + 1 + 496 + 96 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34380 + ... + 61740.

It is an arithmetic number, because the mean of its divisors is an integer number (43095150).

Almost surely, 21314969660 is an apocalyptic number.

1314969660 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 1314969660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068567200).

1314969660 is an abundant number, since it is smaller than the sum of its proper divisors (2822164740).

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

1314969660 is a wasteful number, since it uses less digits than its factorization.

1314969660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27468 (or 27460 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1314969660 is about 36262.5103929665. The cubic root of 1314969660 is about 1095.5660799821.

The spelling of 1314969660 in words is "one billion, three hundred fourteen million, nine hundred sixty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5340 8010 9612 12015 16020 24030 27361 48060 54722 82083 109444 136805 164166 246249 273610 328332 410415 492498 547220 738747 820830 984996 1231245 1477494 1641660 2435129 2462490 2954988 3693735 4870258 4924980 7305387 7387470 9740516 12175645 14610774 14774940 21916161 24351290 29221548 36526935 43832322 48702580 65748483 73053870 87664644 109580805 131496966 146107740 219161610 262993932 328742415 438323220 657484830 1314969660