Search a number
-
+
10063320 = 2335174933
BaseRepresentation
bin100110011000…
…110111011000
3200221021021120
4212120313120
510034011240
6555405240
7151352061
oct46306730
920837246
1010063320
1157537a3
123453820
132114637
14149d568
15d3bad0
hex998dd8

10063320 has 64 divisors (see below), whose sum is σ = 31972320. Its totient is φ = 2525184.

The previous prime is 10063309. The next prime is 10063363. The reversal of 10063320 is 2336001.

10063320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10063320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427 + ... + 4506.

Almost surely, 210063320 is an apocalyptic number.

10063320 is a gapful number since it is divisible by the number (10) 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 10063320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986160).

10063320 is an abundant number, since it is smaller than the sum of its proper divisors (21909000).

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

10063320 is a wasteful number, since it uses less digits than its factorization.

10063320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 10063320 is about 3172.2736325859. The cubic root of 10063320 is about 215.8972419318.

Adding to 10063320 its reverse (2336001), we get a palindrome (12399321).

The spelling of 10063320 in words is "ten million, sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 4933 9866 14799 19732 24665 29598 39464 49330 59196 73995 83861 98660 118392 147990 167722 197320 251583 295980 335444 419305 503166 591960 670888 838610 1006332 1257915 1677220 2012664 2515830 3354440 5031660 10063320