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106653498 = 23721961313
BaseRepresentation
bin1100101101101…
…10011100111010
321102200120002120
412112312130322
5204300402443
614325542110
72433353100
oct626663472
9242616076
10106653498
1155226396
122b874936
13191330a3
1410243c70
15956b083
hex65b673a

106653498 has 96 divisors (see below), whose sum is σ = 266322240. Its totient is φ = 28304640.

The previous prime is 106653497. The next prime is 106653523. The reversal of 106653498 is 894356601.

It is a super-2 number, since 2×1066534982 = 22749937271272008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (106653493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340590 + ... + 340902.

It is an arithmetic number, because the mean of its divisors is an integer number (2774190).

Almost surely, 2106653498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106653498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133161120).

106653498 is an abundant number, since it is smaller than the sum of its proper divisors (159668742).

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

106653498 is a wasteful number, since it uses less digits than its factorization.

106653498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 106653498 is about 10327.3180448750. The cubic root of 106653498 is about 474.2329233195.

The spelling of 106653498 in words is "one hundred six million, six hundred fifty-three thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 61 98 114 122 133 147 183 266 294 313 366 399 427 626 798 854 931 939 1159 1281 1862 1878 2191 2318 2562 2793 2989 3477 4382 5586 5947 5978 6573 6954 8113 8967 11894 13146 15337 16226 17841 17934 19093 24339 30674 35682 38186 41629 46011 48678 56791 57279 83258 92022 113582 114558 124887 133651 170373 249774 267302 291403 340746 362767 400953 582806 725534 801906 874209 935557 1088301 1748418 1871114 2176602 2539369 2806671 5078738 5613342 7618107 15236214 17775583 35551166 53326749 106653498