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1063745904 = 2431331127433
BaseRepresentation
bin111111011001110…
…111100101110000
32202010121220001110
4333121313211300
54134304332104
6253315433320
735234456004
oct7731674560
92663556043
101063745904
114a6503051
122582b5840
1313c4c9160
14a13c2704
15635c3e89
hex3f677970

1063745904 has 160 divisors (see below), whose sum is σ = 3086024704. Its totient is φ = 313528320.

The previous prime is 1063745899. The next prime is 1063745939. The reversal of 1063745904 is 4095473601.

It is a super-2 number, since 2×10637459042 = 2263110696553554432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2456472 + ... + 2456904.

Almost surely, 21063745904 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 1063745904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543012352).

1063745904 is an abundant number, since it is smaller than the sum of its proper divisors (2022278800).

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

1063745904 is a wasteful number, since it uses less digits than its factorization.

1063745904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1063745904 is about 32615.1177216946. The cubic root of 1063745904 is about 1020.8124706944.

The spelling of 1063745904 in words is "one billion, sixty-three million, seven hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 127 156 186 208 248 254 312 372 381 403 433 496 508 624 744 762 806 866 1016 1209 1299 1488 1524 1612 1651 1732 2032 2418 2598 3048 3224 3302 3464 3937 4836 4953 5196 5629 6096 6448 6604 6928 7874 9672 9906 10392 11258 11811 13208 13423 15748 16887 19344 19812 20784 22516 23622 26416 26846 31496 33774 39624 40269 45032 47244 51181 53692 54991 62992 67548 79248 80538 90064 94488 102362 107384 109982 135096 153543 161076 164973 174499 188976 204724 214768 219964 270192 307086 322152 329946 348998 409448 439928 523497 614172 644304 659892 697996 714883 818896 879856 1046994 1228344 1319784 1395992 1429766 1704721 2093988 2144649 2456688 2639568 2791984 2859532 3409442 4187976 4289298 5114163 5719064 6818884 8375952 8578596 10228326 11438128 13637768 17157192 20456652 22161373 27275536 34314384 40913304 44322746 66484119 81826608 88645492 132968238 177290984 265936476 354581968 531872952 1063745904