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106002424 = 23112973569
BaseRepresentation
bin1100101000101…
…11011111111000
321101110110222201
412110113133320
5204114034144
614303555544
72425001653
oct624273770
9241413881
10106002424
1154921210
122b5bbbb4
1318c65938
141011489a
15948d1d4
hex65177f8

106002424 has 64 divisors (see below), whose sum is σ = 227772000. Its totient is φ = 45803520.

The previous prime is 106002397. The next prime is 106002431. The reversal of 106002424 is 424200601.

It is a super-2 number, since 2×1060024242 = 22473027787751552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186012 + ... + 186580.

Almost surely, 2106002424 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 106002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113886000).

106002424 is an abundant number, since it is smaller than the sum of its proper divisors (121769576).

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

106002424 is a wasteful number, since it uses less digits than its factorization.

106002424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 106002424 is about 10295.7478601605. The cubic root of 106002424 is about 473.2659565981.

The spelling of 106002424 in words is "one hundred six million, two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 73 88 116 146 232 292 319 569 584 638 803 1138 1276 1606 2117 2276 2552 3212 4234 4552 6259 6424 8468 12518 16501 16936 23287 25036 33002 41537 46574 50072 66004 83074 93148 132008 166148 181511 186296 332296 363022 456907 726044 913814 1204573 1452088 1827628 2409146 3655256 4818292 9636584 13250303 26500606 53001212 106002424