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13707840 = 2635109131
BaseRepresentation
bin110100010010…
…101001000000
3221210102121210
4310102221000
512002122330
61205450120
7224341356
oct64225100
927712553
1013707840
1178129a3
124710940
132abc463
141b6b7d6
15130b8b0
hexd12a40

13707840 has 112 divisors (see below), whose sum is σ = 44256960. Its totient is φ = 3594240.

The previous prime is 13707829. The next prime is 13707847. The reversal of 13707840 is 4870731.

It is a happy number.

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 = 13707798 and 13707807.

It is not an unprimeable number, because it can be changed into a prime (13707847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104575 + ... + 104705.

Almost surely, 213707840 is an apocalyptic number.

13707840 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 13707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128480).

13707840 is an abundant number, since it is smaller than the sum of its proper divisors (30549120).

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

13707840 is a wasteful number, since it uses less digits than its factorization.

13707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 13707840 is about 3702.4100259156. The cubic root of 13707840 is about 239.3258860941.

The spelling of 13707840 in words is "thirteen million, seven hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 131 160 192 218 240 262 320 327 393 436 480 524 545 654 655 786 872 960 1048 1090 1308 1310 1572 1635 1744 1965 2096 2180 2616 2620 3144 3270 3488 3930 4192 4360 5232 5240 6288 6540 6976 7860 8384 8720 10464 10480 12576 13080 14279 15720 17440 20928 20960 25152 26160 28558 31440 34880 41920 42837 52320 57116 62880 71395 85674 104640 114232 125760 142790 171348 214185 228464 285580 342696 428370 456928 571160 685392 856740 913856 1142320 1370784 1713480 2284640 2741568 3426960 4569280 6853920 13707840