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13146420 = 22357113277
BaseRepresentation
bin110010001001…
…100100110100
3220201220111110
4302021210310
511331141140
61145435020
7216512520
oct62114464
926656443
1013146420
11746a111
12449ba70
132953a61
141a62d80
15124a380
hexc89934

13146420 has 96 divisors (see below), whose sum is σ = 42594048. Its totient is φ = 2967552.

The previous prime is 13146379. The next prime is 13146421. The reversal of 13146420 is 2464131.

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 (13146421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47322 + ... + 47598.

It is an arithmetic number, because the mean of its divisors is an integer number (443688).

Almost surely, 213146420 is an apocalyptic number.

13146420 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 13146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21297024).

13146420 is an abundant number, since it is smaller than the sum of its proper divisors (29447628).

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

13146420 is a wasteful number, since it uses less digits than its factorization.

13146420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

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

The square root of 13146420 is about 3625.7992222405. The cubic root of 13146420 is about 236.0129505485.

The spelling of 13146420 in words is "thirteen million, one hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 277 339 420 452 554 565 678 791 831 1108 1130 1356 1385 1582 1662 1695 1939 2260 2373 2770 3164 3324 3390 3878 3955 4155 4746 5540 5817 6780 7756 7910 8310 9492 9695 11634 11865 15820 16620 19390 23268 23730 29085 31301 38780 47460 58170 62602 93903 116340 125204 156505 187806 219107 313010 375612 438214 469515 626020 657321 876428 939030 1095535 1314642 1878060 2191070 2629284 3286605 4382140 6573210 13146420