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13468400 = 2452113061
BaseRepresentation
bin110011011000…
…001011110000
3221100021011122
4303120023300
511421442100
61200401412
7222323321
oct63301360
927307148
1013468400
11766a010
124616268
132a3748a
141b08448
1512b0985
hexcd82f0

13468400 has 60 divisors (see below), whose sum is σ = 35310984. Its totient is φ = 4896000.

The previous prime is 13468393. The next prime is 13468421. The reversal of 13468400 is 486431.

It is a self number, because there is not a number n which added to its sum of digits gives 13468400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2870 + ... + 5930.

Almost surely, 213468400 is an apocalyptic number.

13468400 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 13468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17655492).

13468400 is an abundant number, since it is smaller than the sum of its proper divisors (21842584).

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

13468400 is a wasteful number, since it uses less digits than its factorization.

13468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13468400 is about 3669.9318794768. The cubic root of 13468400 is about 237.9242279328.

The spelling of 13468400 in words is "thirteen million, four hundred sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 3061 4400 6122 12244 15305 24488 30610 33671 48976 61220 67342 76525 122440 134684 153050 168355 244880 269368 306100 336710 538736 612200 673420 841775 1224400 1346840 1683550 2693680 3367100 6734200 13468400