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1040085504 = 29321311723
BaseRepresentation
bin111101111111100…
…111001000000000
32200111002211002100
4331333213020000
54112230214004
6251112350400
734526403153
oct7577471000
92614084070
101040085504
114941126a7
122503a5400
13137633913
149c1c3c9a
156149d739
hex3dfe7200

1040085504 has 120 divisors (see below), whose sum is σ = 3026426832. Its totient is φ = 343848960.

The previous prime is 1040085491. The next prime is 1040085547. The reversal of 1040085504 is 4055800401.

1040085504 is a `hidden beast` number, since 104 + 0 + 0 + 8 + 550 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602787 + ... + 604509.

Almost surely, 21040085504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513213416).

1040085504 is an abundant number, since it is smaller than the sum of its proper divisors (1986341328).

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

1040085504 is a wasteful number, since it uses less digits than its factorization.

1040085504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1040085504 is about 32250.3566491907. The cubic root of 1040085504 is about 1013.1871688226.

Adding to 1040085504 its reverse (4055800401), we get a palindrome (5095885905).

The spelling of 1040085504 in words is "one billion, forty million, eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 512 524 576 768 786 1048 1152 1179 1536 1572 1723 2096 2304 2358 3144 3446 4192 4608 4716 5169 6288 6892 8384 9432 10338 12576 13784 15507 16768 18864 20676 25152 27568 31014 33536 37728 41352 50304 55136 62028 67072 75456 82704 100608 110272 124056 150912 165408 201216 220544 225713 248112 301824 330816 441088 451426 496224 603648 661632 677139 882176 902852 992448 1323264 1354278 1805704 1984896 2031417 2646528 2708556 3611408 3969792 4062834 5417112 7222816 7939584 8125668 10834224 14445632 16251336 21668448 28891264 32502672 43336896 57782528 65005344 86673792 115565056 130010688 173347584 260021376 346695168 520042752 1040085504