Search a number
-
+
10521120 = 253523953
BaseRepresentation
bin101000001000…
…101000100000
3201210112021010
4220020220200
510143133440
61013300520
7155266551
oct50105040
921715233
1010521120
115a36745
123634740
132244b1c
14157c328
15dcc580
hexa08a20

10521120 has 96 divisors (see below), whose sum is σ = 34618752. Its totient is φ = 2680832.

The previous prime is 10521107. The next prime is 10521149. The reversal of 10521120 is 2112501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105211202 = 221387932108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10521096 and 10521105.

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, 10564 + ... + 11516.

It is an arithmetic number, because the mean of its divisors is an integer number (360612).

Almost surely, 210521120 is an apocalyptic number.

10521120 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 10521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309376).

10521120 is an abundant number, since it is smaller than the sum of its proper divisors (24097632).

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

10521120 is a wasteful number, since it uses less digits than its factorization.

10521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 10521120 is about 3243.6275988467. The cubic root of 10521120 is about 219.1226768316.

Adding to 10521120 its reverse (2112501), we get a palindrome (12633621).

The spelling of 10521120 in words is "ten million, five hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 953 1104 1380 1840 1906 2208 2760 2859 3680 3812 4765 5520 5718 7624 9530 11040 11436 14295 15248 19060 21919 22872 28590 30496 38120 43838 45744 57180 65757 76240 87676 91488 109595 114360 131514 152480 175352 219190 228720 263028 328785 350704 438380 457440 526056 657570 701408 876760 1052112 1315140 1753520 2104224 2630280 3507040 5260560 10521120