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13143120 = 2435232381
BaseRepresentation
bin110010001000…
…110001010000
3220201201222020
4302020301100
511331034440
61145411440
7216500064
oct62106120
926651866
1013143120
117467691
124499b80
1329523c3
141a61aa4
1512493d0
hexc88c50

13143120 has 80 divisors (see below), whose sum is σ = 42532992. Its totient is φ = 3351040.

The previous prime is 13143089. The next prime is 13143149. The reversal of 13143120 is 2134131.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13143120.

It is a congruent number.

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, 4330 + ... + 6710.

Almost surely, 213143120 is an apocalyptic number.

13143120 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 13143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21266496).

13143120 is an abundant number, since it is smaller than the sum of its proper divisors (29389872).

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

13143120 is a wasteful number, since it uses less digits than its factorization.

13143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13143120 is about 3625.3441215973. The cubic root of 13143120 is about 235.9932009915.

Adding to 13143120 its reverse (2134131), we get a palindrome (15277251).

The spelling of 13143120 in words is "thirteen million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2381 2760 4762 5520 7143 9524 11905 14286 19048 23810 28572 35715 38096 47620 54763 57144 71430 95240 109526 114288 142860 164289 190480 219052 273815 285720 328578 438104 547630 571440 657156 821445 876208 1095260 1314312 1642890 2190520 2628624 3285780 4381040 6571560 13143120