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103023232 = 2713101613
BaseRepresentation
bin1100010010000…
…00001010000000
321011212010022021
412021000022000
5202333220412
614120051224
72360453164
oct611001200
9234763267
10103023232
1153176974
122a603b14
13184618c0
14d97aca4
1590a0607
hex6240280

103023232 has 64 divisors (see below), whose sum is σ = 223581960. Its totient is φ = 47001600.

The previous prime is 103023229. The next prime is 103023241. The reversal of 103023232 is 232320301.

It can be written as a sum of positive squares in 4 ways, for example, as 64384576 + 38638656 = 8024^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1030232322 = 21227572663451648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167758 + ... + 168370.

Almost surely, 2103023232 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 103023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111790980).

103023232 is an abundant number, since it is smaller than the sum of its proper divisors (120558728).

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

103023232 is a wasteful number, since it uses less digits than its factorization.

103023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 103023232 is about 10150.0360590492. The cubic root of 103023232 is about 468.7900551964.

Adding to 103023232 its reverse (232320301), we get a palindrome (335343533).

The spelling of 103023232 in words is "one hundred three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 202 208 404 416 613 808 832 1226 1313 1616 1664 2452 2626 3232 4904 5252 6464 7969 9808 10504 12928 15938 19616 21008 31876 39232 42016 61913 63752 78464 84032 123826 127504 168064 247652 255008 495304 510016 804869 990608 1020032 1609738 1981216 3219476 3962432 6438952 7924864 12877904 25755808 51511616 103023232