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12700968 = 23371923173
BaseRepresentation
bin110000011100…
…110100101000
3212220021110020
4300130310220
511222412333
61132120440
7212646030
oct60346450
925807406
1012700968
117195475
124306120
132829087
1419888c0
1511ad3b3
hexc1cd28

12700968 has 128 divisors (see below), whose sum is σ = 40089600. Its totient is φ = 3269376.

The previous prime is 12700967. The next prime is 12700969. The reversal of 12700968 is 86900721.

It is an interprime number because it is at equal distance from previous prime (12700967) and next prime (12700969).

It is a super-2 number, since 2×127009682 = 322629176274048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12700967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73330 + ... + 73502.

It is an arithmetic number, because the mean of its divisors is an integer number (313200).

Almost surely, 212700968 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 12700968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044800).

12700968 is an abundant number, since it is smaller than the sum of its proper divisors (27388632).

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

12700968 is a wasteful number, since it uses less digits than its factorization.

12700968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12700968 is about 3563.8417473283. The cubic root of 12700968 is about 233.3165829245.

The spelling of 12700968 in words is "twelve million, seven hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 23 24 28 38 42 46 56 57 69 76 84 92 114 133 138 152 161 168 173 184 228 266 276 322 346 399 437 456 483 519 532 552 644 692 798 874 966 1038 1064 1211 1288 1311 1384 1596 1748 1932 2076 2422 2622 3059 3192 3287 3496 3633 3864 3979 4152 4844 5244 6118 6574 7266 7958 9177 9688 9861 10488 11937 12236 13148 14532 15916 18354 19722 23009 23874 24472 26296 27853 29064 31832 36708 39444 46018 47748 55706 69027 73416 75601 78888 83559 92036 95496 111412 138054 151202 167118 184072 222824 226803 276108 302404 334236 453606 529207 552216 604808 668472 907212 1058414 1587621 1814424 2116828 3175242 4233656 6350484 12700968