Search a number
-
+
10100520 = 2332528057
BaseRepresentation
bin100110100001…
…111100101000
3201000011022100
4212201330220
510041204040
61000253400
7151565403
oct46417450
921004270
1010100520
115779741
123471260
132128551
1414acd3a
15d47b30
hex9a1f28

10100520 has 48 divisors (see below), whose sum is σ = 32827860. Its totient is φ = 2693376.

The previous prime is 10100507. The next prime is 10100527. The reversal of 10100520 is 2500101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10074276 + 26244 = 3174^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13669 + ... + 14388.

Almost surely, 210100520 is an apocalyptic number.

10100520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100520 is an abundant number, since it is smaller than the sum of its proper divisors (22727340).

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

10100520 is a wasteful number, since it uses less digits than its factorization.

10100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28074 (or 28067 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10100520 is about 3178.1315265420. The cubic root of 10100520 is about 216.1629428943.

Adding to 10100520 its reverse (2500101), we get a palindrome (12600621).

It can be divided in two parts, 101005 and 20, that added together give a triangular number (101025 = T449).

The spelling of 10100520 in words is "ten million, one hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28057 56114 84171 112228 140285 168342 224456 252513 280570 336684 420855 505026 561140 673368 841710 1010052 1122280 1262565 1683420 2020104 2525130 3366840 5050260 10100520