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106453662 = 23737611123
BaseRepresentation
bin1100101100001…
…01101010011110
321102022101222020
412112011222132
5204223004122
614321401010
72431561350
oct626055236
9242271866
10106453662
11550aa237
122b799166
1319093143
14101d10d0
15952bc5c
hex6585a9e

106453662 has 64 divisors (see below), whose sum is σ = 254221824. Its totient is φ = 29082240.

The previous prime is 106453631. The next prime is 106453667. The reversal of 106453662 is 266354601.

It is a super-2 number, since 2×1064536622 = 22664764306420488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106453667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94233 + ... + 95355.

It is an arithmetic number, because the mean of its divisors is an integer number (3972216).

Almost surely, 2106453662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106453662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127110912).

106453662 is an abundant number, since it is smaller than the sum of its proper divisors (147768162).

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

106453662 is a wasteful number, since it uses less digits than its factorization.

106453662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 106453662 is about 10317.6383925780. The cubic root of 106453662 is about 473.9365490384.

The spelling of 106453662 in words is "one hundred six million, four hundred fifty-three thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 37 42 61 74 111 122 183 222 259 366 427 518 777 854 1123 1281 1554 2246 2257 2562 3369 4514 6738 6771 7861 13542 15722 15799 23583 31598 41551 47166 47397 68503 83102 94794 124653 137006 205509 249306 290857 411018 479521 581714 872571 959042 1438563 1745142 2534611 2877126 5069222 7603833 15207666 17742277 35484554 53226831 106453662