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13900248 = 2334191129
BaseRepresentation
bin110101000001…
…100111011000
3222011012120000
4311001213120
512024301443
61213533000
7226102335
oct65014730
928135500
1013900248
11793450a
1247a4160
132b58bcb
141bbb98c
1513488d3
hexd419d8

13900248 has 80 divisors (see below), whose sum is σ = 41019000. Its totient is φ = 4385664.

The previous prime is 13900247. The next prime is 13900261. The reversal of 13900248 is 84200931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900247) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11748 + ... + 12876.

Almost surely, 213900248 is an apocalyptic number.

13900248 is a gapful number since it is divisible by the number (18) 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 13900248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20509500).

13900248 is an abundant number, since it is smaller than the sum of its proper divisors (27118752).

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

13900248 is a wasteful number, since it uses less digits than its factorization.

13900248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13900248 is about 3728.3036357035. The cubic root of 13900248 is about 240.4404412203.

The spelling of 13900248 in words is "thirteen million, nine hundred thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1129 1368 1539 2052 2258 3078 3387 4104 4516 6156 6774 9032 10161 12312 13548 20322 21451 27096 30483 40644 42902 60966 64353 81288 85804 91449 121932 128706 171608 182898 193059 243864 257412 365796 386118 514824 579177 731592 772236 1158354 1544472 1737531 2316708 3475062 4633416 6950124 13900248