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13474900 = 225247261
BaseRepresentation
bin110011011001…
…110001010100
3221100121002101
4303121301110
511422144100
61200451444
7222351265
oct63316124
927317071
1013474900
11767398a
124619b84
132a3a41a
141b0a96c
1512b286a
hexcd9c54

13474900 has 54 divisors (see below), whose sum is σ = 30365678. Its totient is φ = 5188800.

The previous prime is 13474891. The next prime is 13474913. The reversal of 13474900 is 947431.

13474900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 35344 + 13439556 = 188^2 + 3666^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 220870 + ... + 220930.

Almost surely, 213474900 is an apocalyptic number.

13474900 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 13474900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182839).

13474900 is an abundant number, since it is smaller than the sum of its proper divisors (16890778).

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

13474900 is a wasteful number, since it uses less digits than its factorization.

13474900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13474900 is about 3670.8173476761. The cubic root of 13474900 is about 237.9624967388.

The spelling of 13474900 in words is "thirteen million, four hundred seventy-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 47 50 61 94 100 122 188 235 244 305 470 610 940 1175 1220 1525 2209 2350 2867 3050 4418 4700 5734 6100 8836 11045 11468 14335 22090 28670 44180 55225 57340 71675 110450 134749 143350 220900 269498 286700 538996 673745 1347490 2694980 3368725 6737450 13474900