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102406212 = 223223337367
BaseRepresentation
bin1100001101010…
…01100001000100
321010200202220200
412012221201010
5202203444322
614054530500
72352303246
oct606514104
9233622820
10102406212
1152895337
122a366a30
13182a6abc
14d85a096
158ecc8ac
hex61a9844

102406212 has 72 divisors (see below), whose sum is σ = 271654656. Its totient is φ = 32465664.

The previous prime is 102406141. The next prime is 102406247. The reversal of 102406212 is 212604201.

102406212 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 621 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278853 + ... + 279219.

Almost surely, 2102406212 is an apocalyptic number.

102406212 is a gapful number since it is divisible by the number (12) 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 102406212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135827328).

102406212 is an abundant number, since it is smaller than the sum of its proper divisors (169248444).

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

102406212 is a wasteful number, since it uses less digits than its factorization.

102406212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102406212 is about 10119.5954464593. The cubic root of 102406212 is about 467.8522983385.

The spelling of 102406212 in words is "one hundred two million, four hundred six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 337 367 414 674 734 828 1011 1101 1348 1468 2022 2202 3033 3303 4044 4404 6066 6606 7751 8441 12132 13212 15502 16882 23253 25323 31004 33764 46506 50646 69759 75969 93012 101292 123679 139518 151938 247358 279036 303876 371037 494716 742074 1113111 1484148 2226222 2844617 4452444 5689234 8533851 11378468 17067702 25601553 34135404 51203106 102406212