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13970320 = 24571319101
BaseRepresentation
bin110101010010…
…101110010000
3222021202200021
4311102232100
512034022240
61215233224
7226513540
oct65225620
928252607
1013970320
117982121
124818814
132b81a80
141bd9320
15135e54a
hexd52b90

13970320 has 160 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 4147200.

The previous prime is 13970309. The next prime is 13970347. The reversal of 13970320 is 2307931.

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 31 ways as a sum of consecutive naturals, for example, 138270 + ... + 138370.

It is an arithmetic number, because the mean of its divisors is an integer number (265608).

Almost surely, 213970320 is an apocalyptic number.

13970320 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 13970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

13970320 is an abundant number, since it is smaller than the sum of its proper divisors (28526960).

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

13970320 is a wasteful number, since it uses less digits than its factorization.

13970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 13970320 is about 3737.6891256497. The cubic root of 13970320 is about 240.8437891984.

The spelling of 13970320 in words is "thirteen million, nine hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 101 104 112 130 133 140 152 182 190 202 208 247 260 266 280 304 364 380 404 455 494 505 520 532 560 665 707 728 760 808 910 988 1010 1040 1064 1235 1313 1330 1414 1456 1520 1616 1729 1820 1919 1976 2020 2128 2470 2626 2660 2828 3458 3535 3640 3838 3952 4040 4940 5252 5320 5656 6565 6916 7070 7280 7676 8080 8645 9191 9595 9880 10504 10640 11312 13130 13433 13832 14140 15352 17290 18382 19190 19760 21008 24947 26260 26866 27664 28280 30704 34580 36764 38380 45955 49894 52520 53732 56560 67165 69160 73528 76760 91910 99788 105040 107464 124735 134330 138320 147056 153520 174629 183820 199576 214928 249470 268660 349258 367640 399152 498940 537320 698516 735280 873145 997880 1074640 1397032 1746290 1995760 2794064 3492580 6985160 13970320