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13942740 = 2235789373
BaseRepresentation
bin110101001011…
…111111010100
3222020100211210
4311023333110
512032131430
61214501420
7226340250
oct65137724
928210753
1013942740
117963429
124804870
132b72356
141bcd260
1513562b0
hexd4bfd4

13942740 has 96 divisors (see below), whose sum is σ = 45239040. Its totient is φ = 3142656.

The previous prime is 13942727. The next prime is 13942741. The reversal of 13942740 is 4724931.

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 = 13942698 and 13942707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13942741) 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, 37194 + ... + 37566.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 213942740 is an apocalyptic number.

13942740 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 13942740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520).

13942740 is an abundant number, since it is smaller than the sum of its proper divisors (31296300).

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

13942740 is a wasteful number, since it uses less digits than its factorization.

13942740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

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

The square root of 13942740 is about 3733.9978575248. The cubic root of 13942740 is about 240.6851947004.

The spelling of 13942740 in words is "thirteen million, nine hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 373 420 445 534 623 746 890 1068 1119 1246 1335 1492 1780 1865 1869 2238 2492 2611 2670 3115 3730 3738 4476 5222 5340 5595 6230 7460 7476 7833 9345 10444 11190 12460 13055 15666 18690 22380 26110 31332 33197 37380 39165 52220 66394 78330 99591 132788 156660 165985 199182 232379 331970 398364 464758 497955 663940 697137 929516 995910 1161895 1394274 1991820 2323790 2788548 3485685 4647580 6971370 13942740