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13148940 = 2235731307
BaseRepresentation
bin110010001010…
…001100001100
3220202000221210
4302022030030
511331231230
61145454420
7216523050
oct62121414
926660853
1013148940
117470aa2
1244a1410
132954c4c
141a63c60
15124aeb0
hexc8a30c

13148940 has 48 divisors (see below), whose sum is σ = 42077952. Its totient is φ = 3005376.

The previous prime is 13148903. The next prime is 13148953. The reversal of 13148940 is 4984131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13148898 and 13148907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15234 + ... + 16073.

It is an arithmetic number, because the mean of its divisors is an integer number (876624).

Almost surely, 213148940 is an apocalyptic number.

13148940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13148940 is an abundant number, since it is smaller than the sum of its proper divisors (28929012).

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

13148940 is a wasteful number, since it uses less digits than its factorization.

13148940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31326 (or 31324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13148940 is about 3626.1467151785. The cubic root of 13148940 is about 236.0280298030.

The spelling of 13148940 in words is "thirteen million, one hundred forty-eight thousand, nine 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 31307 62614 93921 125228 156535 187842 219149 313070 375684 438298 469605 626140 657447 876596 939210 1095745 1314894 1878420 2191490 2629788 3287235 4382980 6574470 13148940