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10010385 = 355711107
BaseRepresentation
bin100110001011…
…111100010001
3200211120200000
4212023330101
510030313020
6554320213
7151041540
oct46137421
920746600
1010010385
115717a50
123429069
1320c6508
141488157
15d2b090
hex98bf11

10010385 has 96 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 4121280.

The previous prime is 10010383. The next prime is 10010393. The reversal of 10010385 is 58301001.

It is a happy number.

10010385 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010385 - 21 = 10010383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93502 + ... + 93608.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 210010385 is an apocalyptic number.

10010385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10010385 is an abundant number, since it is smaller than the sum of its proper divisors (12633327).

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

10010385 is a wasteful number, since it uses less digits than its factorization.

10010385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10010385 is about 3163.9192467571. The cubic root of 10010385 is about 215.5180225487.

Adding to 10010385 its reverse (58301001), we get a palindrome (68311386).

The spelling of 10010385 in words is "ten million, ten thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 107 135 165 189 231 243 297 315 321 385 405 495 535 567 693 749 891 945 963 1155 1177 1215 1485 1605 1701 2079 2247 2673 2835 2889 3465 3531 3745 4455 4815 5885 6237 6741 8239 8505 8667 10395 10593 11235 13365 14445 17655 18711 20223 24717 26001 31185 31779 33705 41195 43335 52965 60669 74151 93555 95337 101115 123585 130005 158895 182007 222453 286011 303345 370755 476685 667359 910035 1112265 1430055 2002077 3336795 10010385