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106532430 = 23519316029
BaseRepresentation
bin1100101100110…
…00111001001110
321102110102000120
412112120321032
5204233014210
614323205410
72432340114
oct626307116
9242412016
10106532430
1155153434
122b816866
13190bcc54
1410211ab4
159545270
hex6598e4e

106532430 has 64 divisors (see below), whose sum is σ = 277862400. Its totient is φ = 26040960.

The previous prime is 106532417. The next prime is 106532471. The reversal of 106532430 is 34235601.

It is a happy number.

It is a super-2 number, since 2×1065324302 = 22698317283409800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106532430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14656 + ... + 20684.

It is an arithmetic number, because the mean of its divisors is an integer number (4341600).

Almost surely, 2106532430 is an apocalyptic number.

106532430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106532430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138931200).

106532430 is an abundant number, since it is smaller than the sum of its proper divisors (171329970).

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

106532430 is a wasteful number, since it uses less digits than its factorization.

106532430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 106532430 is about 10321.4548393141. The cubic root of 106532430 is about 474.0534131267.

The spelling of 106532430 in words is "one hundred six million, five hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 6029 8835 12058 17670 18087 30145 36174 60290 90435 114551 180870 186899 229102 343653 373798 560697 572755 687306 934495 1121394 1145510 1718265 1868990 2803485 3436530 3551081 5606970 7102162 10653243 17755405 21306486 35510810 53266215 106532430