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13740420 = 22351719709
BaseRepresentation
bin110100011010…
…100110000100
3221212002022110
4310122212010
512004143140
61210301020
7224535351
oct64324604
927762273
1013740420
117835421
124727770
132b01235
141b79628
151316380
hexd1a984

13740420 has 96 divisors (see below), whose sum is σ = 42940800. Its totient is φ = 3262464.

The previous prime is 13740413. The next prime is 13740421. The reversal of 13740420 is 2404731.

13740420 = T76 + T77 + ... + T435.

It is not an unprimeable number, because it can be changed into a prime (13740421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19026 + ... + 19734.

It is an arithmetic number, because the mean of its divisors is an integer number (447300).

Almost surely, 213740420 is an apocalyptic number.

13740420 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 13740420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21470400).

13740420 is an abundant number, since it is smaller than the sum of its proper divisors (29200380).

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

13740420 is a wasteful number, since it uses less digits than its factorization.

13740420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 13740420 is about 3706.8072515306. The cubic root of 13740420 is about 239.5153413783.

The spelling of 13740420 in words is "thirteen million, seven hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 709 969 1020 1140 1292 1418 1615 1938 2127 2836 3230 3545 3876 4254 4845 6460 7090 8508 9690 10635 12053 13471 14180 19380 21270 24106 26942 36159 40413 42540 48212 53884 60265 67355 72318 80826 120530 134710 144636 161652 180795 202065 229007 241060 269420 361590 404130 458014 687021 723180 808260 916028 1145035 1374042 2290070 2748084 3435105 4580140 6870210 13740420