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12464130 = 2357261139
BaseRepresentation
bin101111100011…
…000000000010
3212110020120110
4233203000002
511142323010
61123052150
7210641400
oct57430002
925406513
1012464130
117043538
124211056
132775333
141926470
151163120
hexbe3002

12464130 has 96 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 2782080.

The previous prime is 12464119. The next prime is 12464141. The reversal of 12464130 is 3146421.

It is an interprime number because it is at equal distance from previous prime (12464119) and next prime (12464141).

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

It is a junction number, because it is equal to n+sod(n) for n = 12464097 and 12464106.

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, 89601 + ... + 89739.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 212464130 is an apocalyptic number.

12464130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12464130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

12464130 is an abundant number, since it is smaller than the sum of its proper divisors (23158590).

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

12464130 is a wasteful number, since it uses less digits than its factorization.

12464130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12464130 is about 3530.4574774383. The cubic root of 12464130 is about 231.8572372770.

The spelling of 12464130 in words is "twelve million, four hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 61 70 98 105 122 139 147 183 210 245 278 294 305 366 417 427 490 610 695 735 834 854 915 973 1281 1390 1470 1830 1946 2085 2135 2562 2919 2989 4170 4270 4865 5838 5978 6405 6811 8479 8967 9730 12810 13622 14595 14945 16958 17934 20433 25437 29190 29890 34055 40866 42395 44835 50874 59353 68110 84790 89670 102165 118706 127185 178059 204330 254370 296765 356118 415471 593530 830942 890295 1246413 1780590 2077355 2492826 4154710 6232065 12464130