Search a number
-
+
13123740 = 2235731247
BaseRepresentation
bin110010000100…
…000010011100
3220200202101110
4302010002130
511324424430
61145142020
7216356430
oct62040234
926622343
1013123740
117454073
12448a910
132946636
141a589c0
1512437b0
hexc8409c

13123740 has 48 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 2999616.

The previous prime is 13123739. The next prime is 13123741. The reversal of 13123740 is 4732131.

It is an interprime number because it is at equal distance from previous prime (13123739) and next prime (13123741).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123741) 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, 15204 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 213123740 is an apocalyptic number.

13123740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123740 is an abundant number, since it is smaller than the sum of its proper divisors (28873572).

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

13123740 is a wasteful number, since it uses less digits than its factorization.

13123740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31266 (or 31264 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13123740 is about 3622.6702858527. The cubic root of 13123740 is about 235.8771504639.

Adding to 13123740 its reverse (4732131), we get a palindrome (17855871).

It can be divided in two parts, 131 and 23740, that added together give a triangular number (23871 = T218).

The spelling of 13123740 in words is "thirteen million, one hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 31247 62494 93741 124988 156235 187482 218729 312470 374964 437458 468705 624940 656187 874916 937410 1093645 1312374 1874820 2187290 2624748 3280935 4374580 6561870 13123740