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10051314 = 2371341449
BaseRepresentation
bin100110010101…
…111011110010
3200220122210220
4212111323302
510033120224
6555233510
7151302060
oct46257362
920818726
1010051314
115745779
123448896
13210c030
141499030
15d38279
hex995ef2

10051314 has 64 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 2580480.

The previous prime is 10051303. The next prime is 10051337. The reversal of 10051314 is 41315001.

It is a junction number, because it is equal to n+sod(n) for n = 10051293 and 10051302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22162 + ... + 22610.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 210051314 is an apocalyptic number.

10051314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10051314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

10051314 is an abundant number, since it is smaller than the sum of its proper divisors (15350286).

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

10051314 is a wasteful number, since it uses less digits than its factorization.

10051314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10051314 is about 3170.3807342337. The cubic root of 10051314 is about 215.8113493441.

Adding to 10051314 its reverse (41315001), we get a palindrome (51366315).

The spelling of 10051314 in words is "ten million, fifty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 449 533 546 574 861 898 1066 1347 1599 1722 2694 3143 3198 3731 5837 6286 7462 9429 11193 11674 17511 18409 18858 22386 35022 36818 40859 55227 81718 110454 122577 128863 239317 245154 257726 386589 478634 717951 773178 1435902 1675219 3350438 5025657 10051314