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106023536 = 2429832753
BaseRepresentation
bin1100101000111…
…00101001110000
321101111112221122
412110130221300
5204120223121
614304241412
72425120343
oct624345160
9241445848
10106023536
1154936063
122b610268
1318c72428
141011c45a
1594945ab
hex651ca70

106023536 has 40 divisors (see below), whose sum is σ = 215142480. Its totient is φ = 50548736.

The previous prime is 106023529. The next prime is 106023539. The reversal of 106023536 is 635320601.

It is a super-2 number, since 2×1060235362 = 22481980371886592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106023539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37136 + ... + 39888.

It is an arithmetic number, because the mean of its divisors is an integer number (5378562).

Almost surely, 2106023536 is an apocalyptic number.

106023536 is a gapful number since it is divisible by the number (16) 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 106023536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107571240).

106023536 is an abundant number, since it is smaller than the sum of its proper divisors (109118944).

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

106023536 is a wasteful number, since it uses less digits than its factorization.

106023536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 106023536 is about 10296.7730867491. The cubic root of 106023536 is about 473.2973738910.

The spelling of 106023536 in words is "one hundred six million, twenty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 83 116 166 232 332 464 664 1328 2407 2753 4814 5506 9628 11012 19256 22024 38512 44048 79837 159674 228499 319348 456998 638696 913996 1277392 1827992 3655984 6626471 13252942 26505884 53011768 106023536