Search a number
-
+
10153260 = 22325134339
BaseRepresentation
bin100110101110…
…110100101100
3201002211122200
4212232310230
510044401020
61001341500
7152205225
oct46566454
921084580
1010153260
115805327
123497890
132146560
1414c424c
15d58590
hex9aed2c

10153260 has 72 divisors (see below), whose sum is σ = 33174960. Its totient is φ = 2498688.

The previous prime is 10153249. The next prime is 10153261. The reversal of 10153260 is 6235101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171 + ... + 4509.

Almost surely, 210153260 is an apocalyptic number.

10153260 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 10153260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587480).

10153260 is an abundant number, since it is smaller than the sum of its proper divisors (23021700).

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

10153260 is a wasteful number, since it uses less digits than its factorization.

10153260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10153260 is about 3186.4180516687. The cubic root of 10153260 is about 216.5385225167.

Adding to 10153260 its reverse (6235101), we get a palindrome (16388361).

It can be divided in two parts, 101 and 53260, that added together give a square (53361 = 2312).

The spelling of 10153260 in words is "ten million, one hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4339 8678 13017 17356 21695 26034 39051 43390 52068 56407 65085 78102 86780 112814 130170 156204 169221 195255 225628 260340 282035 338442 390510 507663 564070 676884 781020 846105 1015326 1128140 1692210 2030652 2538315 3384420 5076630 10153260