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13230840 = 2335719829
BaseRepresentation
bin110010011110…
…001011111000
3220220012022010
4302132023320
511341341330
61151325520
7220313610
oct62361370
926805263
1013230840
117517587
1245208a0
1329832cc
141a85a40
1512653b0
hexc9e2f8

13230840 has 128 divisors (see below), whose sum is σ = 47808000. Its totient is φ = 2861568.

The previous prime is 13230827. The next prime is 13230851. The reversal of 13230840 is 4803231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15546 + ... + 16374.

It is an arithmetic number, because the mean of its divisors is an integer number (373500).

Almost surely, 213230840 is an apocalyptic number.

13230840 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 13230840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904000).

13230840 is an abundant number, since it is smaller than the sum of its proper divisors (34577160).

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

13230840 is a wasteful number, since it uses less digits than its factorization.

13230840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13230840 is about 3637.4221641157. The cubic root of 13230840 is about 236.5170603334.

The spelling of 13230840 in words is "thirteen million, two hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 829 840 1064 1140 1330 1596 1658 1995 2280 2487 2660 3192 3316 3990 4145 4974 5320 5803 6632 7980 8290 9948 11606 12435 15751 15960 16580 17409 19896 23212 24870 29015 31502 33160 34818 46424 47253 49740 58030 63004 69636 78755 87045 94506 99480 110257 116060 126008 139272 157510 174090 189012 220514 232120 236265 315020 330771 348180 378024 441028 472530 551285 630040 661542 696360 882056 945060 1102570 1323084 1653855 1890120 2205140 2646168 3307710 4410280 6615420 13230840