Search a number
-
+
10203672 = 2331789281
BaseRepresentation
bin100110111011…
…001000011000
3201012101210210
4212323020120
510103004142
61002411120
7152505213
oct46731030
921171723
1010203672
11583a196
123500aa0
13216349b
1414d877a
15d6849c
hex9bb218

10203672 has 64 divisors (see below), whose sum is σ = 27410400. Its totient is φ = 3153920.

The previous prime is 10203667. The next prime is 10203673. The reversal of 10203672 is 27630201.

It is a happy number.

It is a super-2 number, since 2×102036722 = 208229844567168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203673) 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 15 ways as a sum of consecutive naturals, for example, 36172 + ... + 36452.

Almost surely, 210203672 is an apocalyptic number.

10203672 is a gapful number since it is divisible by the number (12) 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 10203672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705200).

10203672 is an abundant number, since it is smaller than the sum of its proper divisors (17206728).

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

10203672 is a wasteful number, since it uses less digits than its factorization.

10203672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10203672 is about 3194.3187067041. The cubic root of 10203672 is about 216.8963098373.

Adding to 10203672 its reverse (27630201), we get a palindrome (37833873).

The spelling of 10203672 in words is "ten million, two hundred three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 281 356 408 534 562 712 843 1068 1124 1513 1686 2136 2248 3026 3372 4539 4777 6052 6744 9078 9554 12104 14331 18156 19108 25009 28662 36312 38216 50018 57324 75027 100036 114648 150054 200072 300108 425153 600216 850306 1275459 1700612 2550918 3401224 5101836 10203672