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1380134160 = 243351933629
BaseRepresentation
bin101001001000011…
…0010110100010000
310120011222002011000
41102100302310100
510311303243120
6344541022000
746125642516
oct12220626420
93504862130
101380134160
11649060249
12326254900
1318cc14442
14d14204b6
158126d990
hex52432d10

1380134160 has 160 divisors (see below), whose sum is σ = 5004144000. Its totient is φ = 348655104.

The previous prime is 1380134123. The next prime is 1380134177. The reversal of 1380134160 is 614310831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 24226 + ... + 57854.

It is an arithmetic number, because the mean of its divisors is an integer number (31275900).

Almost surely, 21380134160 is an apocalyptic number.

1380134160 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 1380134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502072000).

1380134160 is an abundant number, since it is smaller than the sum of its proper divisors (3624009840).

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

1380134160 is a wasteful number, since it uses less digits than its factorization.

1380134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33670 (or 33658 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1380134160 is about 37150.1569310279. The cubic root of 1380134160 is about 1113.3723589015.

Adding to 1380134160 its reverse (614310831), we get a palindrome (1994444991).

It can be divided in two parts, 13801 and 34160, that added together give a square (47961 = 2192).

The spelling of 1380134160 in words is "one billion, three hundred eighty million, one hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 33629 41040 67258 100887 134516 168145 201774 269032 302661 336290 403548 504435 538064 605322 638951 672580 807096 907983 1008870 1210644 1277902 1345160 1513305 1614192 1815966 1916853 2017740 2421288 2555804 2690320 3026610 3194755 3631932 3833706 4035480 4539915 4842576 5111608 5750559 6053220 6389510 7263864 7667412 8070960 9079830 9584265 10223216 11501118 12106440 12779020 14527728 15334824 17251677 18159660 19168530 23002236 24212880 25558040 28752795 30669648 34503354 36319320 38337060 46004472 51116080 57505590 69006708 72638640 76674120 86258385 92008944 115011180 138013416 153348240 172516770 230022360 276026832 345033540 460044720 690067080 1380134160