Search a number
-
+
1308240 = 243252379
BaseRepresentation
bin100111111011001010000
32110110120100
410333121100
5313330430
644012400
714056053
oct4773120
92413510
101308240
1181399a
12531100
1336a60b
14260a9a
151ac960
hex13f650

1308240 has 120 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 329472.

The previous prime is 1308221. The next prime is 1308247. The reversal of 1308240 is 428031.

It is a happy number.

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

It is a super-2 number, since 2×13082402 = 3422983795200, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16521 + ... + 16599.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

21308240 is an apocalyptic number.

1308240 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 1308240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321280).

1308240 is an abundant number, since it is smaller than the sum of its proper divisors (3334320).

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

1308240 is a wasteful number, since it uses less digits than its factorization.

1308240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

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

The square root of 1308240 is about 1143.7831962396. The cubic root of 1308240 is about 109.3693945427.

The spelling of 1308240 in words is "one million, three hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 79 80 90 92 115 120 138 144 158 180 184 207 230 237 240 276 316 345 360 368 395 414 460 474 552 632 690 711 720 790 828 920 948 1035 1104 1185 1264 1380 1422 1580 1656 1817 1840 1896 2070 2370 2760 2844 3160 3312 3555 3634 3792 4140 4740 5451 5520 5688 6320 7110 7268 8280 9085 9480 10902 11376 14220 14536 16353 16560 18170 18960 21804 27255 28440 29072 32706 36340 43608 54510 56880 65412 72680 81765 87216 109020 130824 145360 163530 218040 261648 327060 436080 654120 1308240