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13124034 = 23271117557
BaseRepresentation
bin110010000100…
…000111000010
3220200202210100
4302010013002
511324432114
61145143230
7216360330
oct62040702
926622710
1013124034
117454310
12448ab16
132946801
141a58b50
151243909
hexc841c2

13124034 has 96 divisors (see below), whose sum is σ = 37604736. Its totient is φ = 3202560.

The previous prime is 13124021. The next prime is 13124047. The reversal of 13124034 is 43042131.

Adding to 13124034 its reverse (43042131), we get a palindrome (56166165).

It is an interprime number because it is at equal distance from previous prime (13124021) and next prime (13124047).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13123998 and 13124016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23284 + ... + 23840.

It is an arithmetic number, because the mean of its divisors is an integer number (391716).

Almost surely, 213124034 is an apocalyptic number.

13124034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802368).

13124034 is an abundant number, since it is smaller than the sum of its proper divisors (24480702).

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

13124034 is a wasteful number, since it uses less digits than its factorization.

13124034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13124034 is about 3622.7108634281. The cubic root of 13124034 is about 235.8789118359.

The spelling of 13124034 in words is "thirteen million, one hundred twenty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 557 561 693 714 1071 1114 1122 1309 1386 1671 1683 2142 2618 3342 3366 3899 3927 5013 6127 7798 7854 9469 10026 11697 11781 12254 18381 18938 23394 23562 28407 35091 36762 42889 55143 56814 66283 70182 85221 85778 104159 110286 128667 132566 170442 198849 208318 257334 312477 386001 397698 596547 624954 729113 772002 937431 1193094 1458226 1874862 2187339 4374678 6562017 13124034