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1380240 = 2435571
BaseRepresentation
bin101010000111110010000
32121010100000
411100332100
5323131430
645330000
714506011
oct5207620
92533300
101380240
11862aa4
12566900
13394314
1427d008
151c3e60
hex150f90

1380240 has 120 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 362880.

The previous prime is 1380233. The next prime is 1380241. The reversal of 1380240 is 420831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1380241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19405 + ... + 19475.

21380240 is an apocalyptic number.

1380240 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 1380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

1380240 is an abundant number, since it is smaller than the sum of its proper divisors (3494448).

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

1380240 is an equidigital number, since it uses as much as digits as its factorization.

1380240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1380240 is about 1174.8361587898. The cubic root of 1380240 is about 111.3400819014.

The spelling of 1380240 in words is "one million, three hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 81 90 108 120 135 142 144 162 180 213 216 240 243 270 284 324 355 360 405 426 432 486 540 568 639 648 710 720 810 852 972 1065 1080 1136 1215 1278 1296 1420 1620 1704 1917 1944 2130 2160 2430 2556 2840 3195 3240 3408 3834 3888 4260 4860 5112 5680 5751 6390 6480 7668 8520 9585 9720 10224 11502 12780 15336 17040 17253 19170 19440 23004 25560 28755 30672 34506 38340 46008 51120 57510 69012 76680 86265 92016 115020 138024 153360 172530 230040 276048 345060 460080 690120 1380240