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1361360 = 2457111317
BaseRepresentation
bin101001100010111010000
32120011102202
411030113100
5322030420
645102332
714366660
oct5142720
92504382
101361360
1184a8a0
125579a8
13388850
142761a0
151bd575
hex14c5d0

1361360 has 160 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 368640.

The previous prime is 1361357. The next prime is 1361363. The reversal of 1361360 is 631631.

1361360 = T42 + T43 + ... + T201.

It is an interprime number because it is at equal distance from previous prime (1361357) and next prime (1361363).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80072 + ... + 80088.

21361360 is an apocalyptic number.

1361360 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 1361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

1361360 is an abundant number, since it is smaller than the sum of its proper divisors (3138352).

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

1361360 is a wasteful number, since it uses less digits than its factorization.

1361360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1361360 is about 1166.7733284576. The cubic root of 1361360 is about 110.8300838866.

Adding to 1361360 its reverse (631631), we get a palindrome (1992991).

The spelling of 1361360 in words is "one million, three hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 17 20 22 26 28 34 35 40 44 52 55 56 65 68 70 77 80 85 88 91 104 110 112 119 130 136 140 143 154 170 176 182 187 208 220 221 238 260 272 280 286 308 340 364 374 385 440 442 455 476 520 560 572 595 616 680 715 728 748 770 880 884 910 935 952 1001 1040 1105 1144 1190 1232 1309 1360 1430 1456 1496 1540 1547 1768 1820 1870 1904 2002 2210 2288 2380 2431 2618 2860 2992 3080 3094 3536 3640 3740 4004 4420 4760 4862 5005 5236 5720 6160 6188 6545 7280 7480 7735 8008 8840 9520 9724 10010 10472 11440 12155 12376 13090 14960 15470 16016 17017 17680 19448 20020 20944 24310 24752 26180 30940 34034 38896 40040 48620 52360 61880 68068 80080 85085 97240 104720 123760 136136 170170 194480 272272 340340 680680 1361360