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10605040 = 245196977
BaseRepresentation
bin101000011101…
…000111110000
3201221210101021
4220131013300
510203330130
61015145224
7156066325
oct50350760
921853337
1010605040
115a937a6
123675214
132274094
1415a0b4c
15de737a
hexa1d1f0

10605040 has 40 divisors (see below), whose sum is σ = 25958160. Its totient is φ = 4018176.

The previous prime is 10605037. The next prime is 10605079. The reversal of 10605040 is 4050601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106050402 = 224933746803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1969 + ... + 5008.

It is an arithmetic number, because the mean of its divisors is an integer number (648954).

Almost surely, 210605040 is an apocalyptic number.

10605040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605040 is an abundant number, since it is smaller than the sum of its proper divisors (15353120).

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

10605040 is a wasteful number, since it uses less digits than its factorization.

10605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10605040 is about 3256.5380390838. The cubic root of 10605040 is about 219.7037334383.

Adding to 10605040 its reverse (4050601), we get a palindrome (14655641).

The spelling of 10605040 in words is "ten million, six hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 6977 13954 27908 34885 55816 69770 111632 132563 139540 265126 279080 530252 558160 662815 1060504 1325630 2121008 2651260 5302520 10605040