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13673970 = 23251371109
BaseRepresentation
bin110100001010…
…010111110010
3221201201011100
4310022113302
512000031340
61205025230
7224140542
oct64122762
927651140
1013673970
11779a502
1246b5216
132aa9c0b
141b5d322
151301830
hexd0a5f2

13673970 has 48 divisors (see below), whose sum is σ = 35844120. Its totient is φ = 3616512.

The previous prime is 13673969. The next prime is 13673981. The reversal of 13673970 is 7937631.

13673970 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7338681 + 6335289 = 2709^2 + 2517^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11776 + ... + 12884.

Almost surely, 213673970 is an apocalyptic number.

13673970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13673970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922060).

13673970 is an abundant number, since it is smaller than the sum of its proper divisors (22170150).

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

13673970 is a wasteful number, since it uses less digits than its factorization.

13673970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 13673970 is about 3697.8331492916. The cubic root of 13673970 is about 239.1286108329.

The spelling of 13673970 in words is "thirteen million, six hundred seventy-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1109 1233 1370 2055 2218 2466 3327 4110 5545 6165 6654 9981 11090 12330 16635 19962 33270 49905 99810 151933 303866 455799 759665 911598 1367397 1519330 2278995 2734794 4557990 6836985 13673970