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6683136 = 29319229
BaseRepresentation
bin11001011111101000000000
3110120112112120
4121133220000
53202330021
6355124240
7110543235
oct31375000
913515476
106683136
113855159
1222a3680
1314ccc25
14c5d78c
158c02c6
hex65fa00

6683136 has 80 divisors (see below), whose sum is σ = 18823200. Its totient is φ = 2101248.

The previous prime is 6683129. The next prime is 6683143. The reversal of 6683136 is 6313866.

It is an interprime number because it is at equal distance from previous prime (6683129) and next prime (6683143).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6683097 and 6683106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29070 + ... + 29298.

It is an arithmetic number, because the mean of its divisors is an integer number (235290).

Almost surely, 26683136 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 6683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411600).

6683136 is an abundant number, since it is smaller than the sum of its proper divisors (12140064).

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

6683136 is a wasteful number, since it uses less digits than its factorization.

6683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 6683136 is about 2585.1762028922. The cubic root of 6683136 is about 188.3620606886.

The spelling of 6683136 in words is "six million, six hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 229 256 304 384 456 458 512 608 687 768 912 916 1216 1374 1536 1824 1832 2432 2748 3648 3664 4351 4864 5496 7296 7328 8702 9728 10992 13053 14592 14656 17404 21984 26106 29184 29312 34808 43968 52212 58624 69616 87936 104424 117248 139232 175872 208848 278464 351744 417696 556928 835392 1113856 1670784 2227712 3341568 6683136