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1015040 = 2851361
BaseRepresentation
bin11110111110100000000
31220120101002
43313310000
5224440130
633431132
711425205
oct3676400
91816332
101015040
11633684
1240b4a8
13297020
141c5cac
15150b45
hexf7d00

1015040 has 72 divisors (see below), whose sum is σ = 2661288. Its totient is φ = 368640.

The previous prime is 1015039. The next prime is 1015043. The reversal of 1015040 is 405101.

1015040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 984064 = 176^2 + 992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16610 + ... + 16670.

21015040 is an apocalyptic number.

1015040 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 1015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330644).

1015040 is an abundant number, since it is smaller than the sum of its proper divisors (1646248).

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

1015040 is an equidigital number, since it uses as much as digits as its factorization.

1015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1015040 is about 1007.4919354516. The cubic root of 1015040 is about 100.4988407744.

The spelling of 1015040 in words is "one million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 128 130 160 208 244 256 260 305 320 416 488 520 610 640 793 832 976 1040 1220 1280 1586 1664 1952 2080 2440 3172 3328 3904 3965 4160 4880 6344 7808 7930 8320 9760 12688 15616 15860 16640 19520 25376 31720 39040 50752 63440 78080 101504 126880 203008 253760 507520 1015040