Search a number
-
+
10161520 = 245711789
BaseRepresentation
bin100110110000…
…110101110000
3201010020222121
4212300311300
510100132040
61001444024
7152241265
oct46606560
921106877
1010161520
115810556
1234a0614
13214a245
1414c726c
15d5ac4a
hex9b0d70

10161520 has 40 divisors (see below), whose sum is σ = 23971680. Its totient is φ = 4005120.

The previous prime is 10161499. The next prime is 10161551. The reversal of 10161520 is 2516101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10161494 and 10161503.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4786 + ... + 6574.

It is an arithmetic number, because the mean of its divisors is an integer number (599292).

Almost surely, 210161520 is an apocalyptic number.

10161520 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 10161520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11985840).

10161520 is an abundant number, since it is smaller than the sum of its proper divisors (13810160).

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

10161520 is a wasteful number, since it uses less digits than its factorization.

10161520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 10161520 is about 3187.7139143907. The cubic root of 10161520 is about 216.5972269257.

Adding to 10161520 its reverse (2516101), we get a palindrome (12677621).

The spelling of 10161520 in words is "ten million, one hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 1789 2840 3578 5680 7156 8945 14312 17890 28624 35780 71560 127019 143120 254038 508076 635095 1016152 1270190 2032304 2540380 5080760 10161520