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2013696 = 29321923
BaseRepresentation
bin111101011101000000000
310210022021100
413223220000
51003414241
6111054400
723054556
oct7535000
93708240
102013696
111155a13
12811400
13556749
143a5bd6
1529b9b6
hex1eba00

2013696 has 120 divisors (see below), whose sum is σ = 6383520. Its totient is φ = 608256.

The previous prime is 2013679. The next prime is 2013703. The reversal of 2013696 is 6963102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87541 + ... + 87563.

It is an arithmetic number, because the mean of its divisors is an integer number (53196).

22013696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191760).

2013696 is an abundant number, since it is smaller than the sum of its proper divisors (4369824).

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

2013696 is a wasteful number, since it uses less digits than its factorization.

2013696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2013696 is about 1419.0475679131. The cubic root of 2013696 is about 126.2790489637.

Adding to 2013696 its reverse (6963102), we get a palindrome (8976798).

The spelling of 2013696 in words is "two million, thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 64 69 72 76 92 96 114 128 138 144 152 171 184 192 207 228 256 276 288 304 342 368 384 414 437 456 512 552 576 608 684 736 768 828 874 912 1104 1152 1216 1311 1368 1472 1536 1656 1748 1824 2208 2304 2432 2622 2736 2944 3312 3496 3648 3933 4416 4608 4864 5244 5472 5888 6624 6992 7296 7866 8832 9728 10488 10944 11776 13248 13984 14592 15732 17664 20976 21888 26496 27968 29184 31464 35328 41952 43776 52992 55936 62928 83904 87552 105984 111872 125856 167808 223744 251712 335616 503424 671232 1006848 2013696