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1368120 = 233513877
BaseRepresentation
bin101001110000000111000
32120111201010
411032000320
5322234440
645153520
714425455
oct5160070
92514633
101368120
11854986
1255b8a0
1338b950
1427882c
151c0580
hex14e038

1368120 has 64 divisors (see below), whose sum is σ = 4425120. Its totient is φ = 336384.

The previous prime is 1368119. The next prime is 1368121. The reversal of 1368120 is 218631.

It is an interprime number because it is at equal distance from previous prime (1368119) and next prime (1368121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122 + ... + 1998.

21368120 is an apocalyptic number.

1368120 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 1368120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212560).

1368120 is an abundant number, since it is smaller than the sum of its proper divisors (3057000).

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

1368120 is a wasteful number, since it uses less digits than its factorization.

1368120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1368120 is about 1169.6666191698. Note that the first 4 decimals coincide. The cubic root of 1368120 is about 111.0132278692.

It can be divided in two parts, 136 and 8120, that added together give a triangular number (8256 = T128).

The spelling of 1368120 in words is "one million, three hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 877 1560 1754 2631 3508 4385 5262 7016 8770 10524 11401 13155 17540 21048 22802 26310 34203 35080 45604 52620 57005 68406 91208 105240 114010 136812 171015 228020 273624 342030 456040 684060 1368120