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13420176 = 2437113631
BaseRepresentation
bin110011001100…
…011010010000
3221020211000120
4303030122100
511413421201
61155350240
7222032610
oct63143220
927224016
1013420176
117636860
1245b2380
132a1b543
141ad4a40
1512a1536
hexccc690

13420176 has 80 divisors (see below), whose sum is σ = 43235328. Its totient is φ = 3484800.

The previous prime is 13420153. The next prime is 13420177. The reversal of 13420176 is 67102431.

It is a super-2 number, since 2×134201762 = 360202247741952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13420177) 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, 1881 + ... + 5511.

Almost surely, 213420176 is an apocalyptic number.

13420176 is a gapful number since it is divisible by the number (16) 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 13420176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21617664).

13420176 is an abundant number, since it is smaller than the sum of its proper divisors (29815152).

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

13420176 is a wasteful number, since it uses less digits than its factorization.

13420176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13420176 is about 3663.3558385721. The cubic root of 13420176 is about 237.6399234572.

The spelling of 13420176 in words is "thirteen million, four hundred twenty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3631 3696 7262 10893 14524 21786 25417 29048 39941 43572 50834 58096 76251 79882 87144 101668 119823 152502 159764 174288 203336 239646 279587 305004 319528 406672 479292 559174 610008 639056 838761 958584 1118348 1220016 1677522 1917168 2236696 3355044 4473392 6710088 13420176