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13717400 = 2352107641
BaseRepresentation
bin110100010100…
…111110011000
3221210220201212
4310110332120
512002424100
61210002252
7224411264
oct64247630
927726655
1013717400
11781a0a4
124716388
132ac3908
141b710a4
15130e635
hexd14f98

13717400 has 48 divisors (see below), whose sum is σ = 32241240. Its totient is φ = 5427200.

The previous prime is 13717391. The next prime is 13717423. The reversal of 13717400 is 471731.

13717400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21080 + ... + 21720.

Almost surely, 213717400 is an apocalyptic number.

13717400 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 13717400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120620).

13717400 is an abundant number, since it is smaller than the sum of its proper divisors (18523840).

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

13717400 is a wasteful number, since it uses less digits than its factorization.

13717400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 13717400 is about 3703.7008518508. The cubic root of 13717400 is about 239.3815093431.

The spelling of 13717400 in words is "thirteen million, seven hundred seventeen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 641 856 1070 1282 2140 2564 2675 3205 4280 5128 5350 6410 10700 12820 16025 21400 25640 32050 64100 68587 128200 137174 274348 342935 548696 685870 1371740 1714675 2743480 3429350 6858700 13717400