Search a number
-
+
13009020 = 22351571381
BaseRepresentation
bin110001101000…
…000001111100
3220110221000120
4301220001330
511312242040
61142454540
7215401113
oct61500174
926427016
1013009020
117385962
124434450
13290635b
141a28c7a
15121e7d0
hexc6807c

13009020 has 48 divisors (see below), whose sum is σ = 36683808. Its totient is φ = 3444480.

The previous prime is 13009019. The next prime is 13009021. The reversal of 13009020 is 2090031.

It is an interprime number because it is at equal distance from previous prime (13009019) and next prime (13009021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009021) 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, 8730 + ... + 10110.

It is an arithmetic number, because the mean of its divisors is an integer number (764246).

Almost surely, 213009020 is an apocalyptic number.

13009020 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 13009020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341904).

13009020 is an abundant number, since it is smaller than the sum of its proper divisors (23674788).

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

13009020 is a wasteful number, since it uses less digits than its factorization.

13009020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 13009020 is about 3606.8019075075. The cubic root of 13009020 is about 235.1878383503.

Adding to 13009020 its reverse (2090031), we get a palindrome (15099051).

The spelling of 13009020 in words is "thirteen million, nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1381 1570 1884 2355 2762 3140 4143 4710 5524 6905 8286 9420 13810 16572 20715 27620 41430 82860 216817 433634 650451 867268 1084085 1300902 2168170 2601804 3252255 4336340 6504510 13009020