Search a number
-
+
10023520 = 255136179
BaseRepresentation
bin100110001111…
…001001100000
3200212020200111
4212033021200
510031223040
6554501104
7151125043
oct46171140
920766614
1010023520
115726901
123434794
1320cc4a0
14148cc5a
15d2edea
hex98f260

10023520 has 96 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 3594240.

The previous prime is 10023511. The next prime is 10023521. The reversal of 10023520 is 2532001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10023520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126841 + ... + 126919.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 210023520 is an apocalyptic number.

10023520 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 10023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

10023520 is an abundant number, since it is smaller than the sum of its proper divisors (16224800).

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

10023520 is a wasteful number, since it uses less digits than its factorization.

10023520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 10023520 is about 3165.9943145874. The cubic root of 10023520 is about 215.6122444320.

Adding to 10023520 its reverse (2532001), we get a palindrome (12555521).

The spelling of 10023520 in words is "ten million, twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 65 79 80 104 122 130 158 160 208 244 260 305 316 395 416 488 520 610 632 790 793 976 1027 1040 1220 1264 1580 1586 1952 2054 2080 2440 2528 3160 3172 3965 4108 4819 4880 5135 6320 6344 7930 8216 9638 9760 10270 12640 12688 15860 16432 19276 20540 24095 25376 31720 32864 38552 41080 48190 62647 63440 77104 82160 96380 125294 126880 154208 164320 192760 250588 313235 385520 501176 626470 771040 1002352 1252940 2004704 2505880 5011760 10023520