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1308480 = 26352947
BaseRepresentation
bin100111111011101000000
32110110220020
410333131000
5313332410
644013440
714056545
oct4773500
92413806
101308480
11814098
12531280
1336a764
14260bcc
151aca70
hex13f740

1308480 has 112 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 329728.

The previous prime is 1308467. The next prime is 1308491. The reversal of 1308480 is 848031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1308480.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27817 + ... + 27863.

21308480 is an apocalyptic number.

1308480 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 1308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1308480 is an abundant number, since it is smaller than the sum of its proper divisors (3080640).

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

1308480 is a wasteful number, since it uses less digits than its factorization.

1308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1308480 is about 1143.8881064160. Note that the first 3 decimals coincide. The cubic root of 1308480 is about 109.3760821662.

The spelling of 1308480 in words is "one million, three hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 47 48 58 60 64 80 87 94 96 116 120 141 145 160 174 188 192 232 235 240 282 290 320 348 376 435 464 470 480 564 580 696 705 752 870 928 940 960 1128 1160 1363 1392 1410 1504 1740 1856 1880 2256 2320 2726 2784 2820 3008 3480 3760 4089 4512 4640 5452 5568 5640 6815 6960 7520 8178 9024 9280 10904 11280 13630 13920 15040 16356 20445 21808 22560 27260 27840 32712 40890 43616 45120 54520 65424 81780 87232 109040 130848 163560 218080 261696 327120 436160 654240 1308480