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1076003964 = 2232743109911
BaseRepresentation
bin100000000100010…
…1000010001111100
32202222200122221200
41000020220101330
54200424111324
6254434255500
735443611540
oct10010502174
92688618850
101076003964
11502415782
12260427590
13141bcb749
14a2c93a20
15646e5ec9
hex4022847c

1076003964 has 144 divisors (see below), whose sum is σ = 3213450240. Its totient is φ = 297198720.

The previous prime is 1076003939. The next prime is 1076003969. The reversal of 1076003964 is 4693006701.

1076003964 is a `hidden beast` number, since 10 + 7 + 600 + 39 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076003969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180669 + ... + 1181579.

Almost surely, 21076003964 is an apocalyptic number.

1076003964 is a gapful number since it is divisible by the number (14) 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 1076003964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606725120).

1076003964 is an abundant number, since it is smaller than the sum of its proper divisors (2137446276).

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

1076003964 is a wasteful number, since it uses less digits than its factorization.

1076003964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1076003964 is about 32802.4993559942. The cubic root of 1076003964 is about 1024.7186105235.

The spelling of 1076003964 in words is "one billion, seventy-six million, three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 109 126 129 172 218 252 258 301 327 387 436 516 602 654 763 774 903 911 981 1204 1308 1526 1548 1806 1822 1962 2289 2709 2733 3052 3612 3644 3924 4578 4687 5418 5466 6377 6867 8199 9156 9374 10836 10932 12754 13734 14061 16398 18748 19131 25508 27468 28122 32796 32809 38262 39173 42183 56244 57393 65618 76524 78346 84366 98427 99299 114786 117519 131236 156692 168732 196854 198598 229572 235038 274211 295281 297897 352557 393708 397196 470076 548422 590562 595794 695093 705114 822633 893691 1096844 1181124 1191588 1390186 1410228 1645266 1787382 2085279 2467899 2780372 3290532 3574764 4170558 4269857 4935798 6255837 8341116 8539714 9871596 12511674 12809571 17079428 25023348 25619142 29888999 38428713 51238284 59777998 76857426 89666997 119555996 153714852 179333994 269000991 358667988 538001982 1076003964