Search a number
-
+
1059734704 = 24729833931
BaseRepresentation
bin111111001010100…
…100010010110000
32201212002002201111
4333022210102300
54132243002304
6253053443104
735155411360
oct7712442260
92655062644
101059734704
114a4213406
12256aa0494
1313b723472
14a0a5a9a0
1563080704
hex3f2a44b0

1059734704 has 80 divisors (see below), whose sum is σ = 2457342720. Its totient is φ = 433117440.

The previous prime is 1059734657. The next prime is 1059734717. The reversal of 1059734704 is 4074379501.

It is a super-2 number, since 2×10597347042 = 2246075285723935232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267619 + ... + 271549.

It is an arithmetic number, because the mean of its divisors is an integer number (30716784).

Almost surely, 21059734704 is an apocalyptic number.

1059734704 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 1059734704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228671360).

1059734704 is an abundant number, since it is smaller than the sum of its proper divisors (1397608016).

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

1059734704 is a wasteful number, since it uses less digits than its factorization.

1059734704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 1059734704 is about 32553.5666863095. The cubic root of 1059734704 is about 1019.5277526822.

The spelling of 1059734704 in words is "one billion, fifty-nine million, seven hundred thirty-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 83 112 116 166 203 232 332 406 464 581 664 812 1162 1328 1624 2324 2407 3248 3931 4648 4814 7862 9296 9628 15724 16849 19256 27517 31448 33698 38512 55034 62896 67396 110068 113999 134792 220136 227998 269584 326273 440272 455996 652546 797993 911992 1305092 1595986 1823984 2283911 2610184 3191972 4567822 5220368 6383944 9135644 9461917 12767888 18271288 18923834 36542576 37847668 66233419 75695336 132466838 151390672 264933676 529867352 1059734704