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13448960 = 28571979
BaseRepresentation
bin110011010011…
…011100000000
3221022021111122
4303103130000
511420331320
61200131412
7222212540
oct63233400
927267448
1013448960
117656448
124606b68
132a2b685
141b01320
1512a9d25
hexcd3700

13448960 has 144 divisors (see below), whose sum is σ = 39244800. Its totient is φ = 4313088.

The previous prime is 13448959. The next prime is 13448969. The reversal of 13448960 is 6984431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13448960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13448969) 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, 170201 + ... + 170279.

Almost surely, 213448960 is an apocalyptic number.

13448960 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 13448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622400).

13448960 is an abundant number, since it is smaller than the sum of its proper divisors (25795840).

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

13448960 is an equidigital number, since it uses as much as digits as its factorization.

13448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 13448960 is about 3667.2823725478. The cubic root of 13448960 is about 237.8097012356.

It can be divided in two parts, 134 and 48960, that added together give a palindrome (49094).

The spelling of 13448960 in words is "thirteen million, four hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 79 80 95 112 128 133 140 152 158 160 190 224 256 266 280 304 316 320 380 395 448 532 553 560 608 632 640 665 760 790 896 1064 1106 1120 1216 1264 1280 1330 1501 1520 1580 1792 2128 2212 2240 2432 2528 2660 2765 3002 3040 3160 4256 4424 4480 4864 5056 5320 5530 6004 6080 6320 7505 8512 8848 8960 10112 10507 10640 11060 12008 12160 12640 15010 17024 17696 20224 21014 21280 22120 24016 24320 25280 30020 34048 35392 42028 42560 44240 48032 50560 52535 60040 70784 84056 85120 88480 96064 101120 105070 120080 141568 168112 170240 176960 192128 210140 240160 336224 353920 384256 420280 480320 672448 707840 840560 960640 1344896 1681120 1921280 2689792 3362240 6724480 13448960