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8001213 = 311376553
BaseRepresentation
bin11110100001011010111101
3120001111121020
4132201122331
54022014323
6443254353
7125003103
oct36413275
916044536
108001213
114575480
12281a3b9
131871b5c
1410c3c73
15a80ae3
hex7a16bd

8001213 has 16 divisors (see below), whose sum is σ = 11954496. Its totient is φ = 4717440.

The previous prime is 8001197. The next prime is 8001229. The reversal of 8001213 is 3121008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8001197) and next prime (8001229).

It is not a de Polignac number, because 8001213 - 24 = 8001197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8001192 and 8001201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001293) 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, 2056 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (747156).

Almost surely, 28001213 is an apocalyptic number.

It is an amenable number.

8001213 is a deficient number, since it is larger than the sum of its proper divisors (3953283).

8001213 is a wasteful number, since it uses less digits than its factorization.

8001213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8001213 is about 2828.6415467500. The cubic root of 8001213 is about 200.0101078225.

The spelling of 8001213 in words is "eight million, one thousand, two hundred thirteen".

Divisors: 1 3 11 33 37 111 407 1221 6553 19659 72083 216249 242461 727383 2667071 8001213