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10487295 = 3257132197
BaseRepresentation
bin101000000000…
…010111111111
3201201210212100
4220000113333
510141043140
61012440143
7155066130
oct50002777
921653770
1010487295
115a13295
123619053
132232600
14156dc87
15dc2530
hexa005ff

10487295 has 72 divisors (see below), whose sum is σ = 22610016. Its totient is φ = 4402944.

The previous prime is 10487273. The next prime is 10487327. The reversal of 10487295 is 59278401.

10487295 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10487295 - 27 = 10487167 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53137 + ... + 53333.

It is an arithmetic number, because the mean of its divisors is an integer number (314028).

Almost surely, 210487295 is an apocalyptic number.

10487295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10487295 is an abundant number, since it is smaller than the sum of its proper divisors (12122721).

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

10487295 is a wasteful number, since it uses less digits than its factorization.

10487295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10487295 is about 3238.4093317553. The cubic root of 10487295 is about 218.8876010453.

The spelling of 10487295 in words is "ten million, four hundred eighty-seven thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 169 195 197 273 315 455 507 585 591 819 845 985 1183 1365 1379 1521 1773 2535 2561 2955 3549 4095 4137 5915 6895 7605 7683 8865 10647 12411 12805 17745 17927 20685 23049 33293 38415 53235 53781 62055 89635 99879 115245 161343 166465 233051 268905 299637 499395 699153 806715 1165255 1498185 2097459 3495765 10487295