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13749240 = 2335114577
BaseRepresentation
bin110100011100…
…101111111000
3221212112102010
4310130233320
512004433430
61210405520
7224603151
oct64345770
927775363
1013749240
11784100a
1247308a0
132b0525b
141b7c928
151318cb0
hexd1cbf8

13749240 has 32 divisors (see below), whose sum is σ = 41248080. Its totient is φ = 3666432.

The previous prime is 13749233. The next prime is 13749247. The reversal of 13749240 is 4294731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13749233) and next prime (13749247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13749198 and 13749207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13749247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57169 + ... + 57408.

Almost surely, 213749240 is an apocalyptic number.

13749240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13749240 is an abundant number, since it is smaller than the sum of its proper divisors (27498840).

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

13749240 is a wasteful number, since it uses less digits than its factorization.

13749240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114591 (or 114587 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13749240 is about 3707.9967637526. The cubic root of 13749240 is about 239.5665788578.

The spelling of 13749240 in words is "thirteen million, seven hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 114577 229154 343731 458308 572885 687462 916616 1145770 1374924 1718655 2291540 2749848 3437310 4583080 6874620 13749240