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1130417464 = 2311192832389
BaseRepresentation
bin100001101100000…
…1100110100111000
32220210002011020111
41003120030310320
54303341324324
6304100434104
740004250511
oct10330146470
92823064214
101130417464
11530100410
122766a8934
13150270997
14aa1b9a08
1569393794
hex4360cd38

1130417464 has 64 divisors (see below), whose sum is σ = 2443536000. Its totient is φ = 484859520.

The previous prime is 1130417459. The next prime is 1130417467. The reversal of 1130417464 is 4647140311.

It is a super-3 number, since 3×11304174643 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130417467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471982 + ... + 474370.

It is an arithmetic number, because the mean of its divisors is an integer number (38180250).

Almost surely, 21130417464 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 1130417464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221768000).

1130417464 is an abundant number, since it is smaller than the sum of its proper divisors (1313118536).

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

1130417464 is a wasteful number, since it uses less digits than its factorization.

1130417464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1130417464 is about 33621.6814570598. The cubic root of 1130417464 is about 1041.7086876901.

Adding to 1130417464 its reverse (4647140311), we get a palindrome (5777557775).

The spelling of 1130417464 in words is "one billion, one hundred thirty million, four hundred seventeen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 283 418 566 836 1132 1672 2264 2389 3113 4778 5377 6226 9556 10754 12452 19112 21508 24904 26279 43016 45391 52558 59147 90782 105116 118294 181564 210232 236588 363128 473176 499301 676087 998602 1352174 1997204 2704348 3994408 5408696 7436957 12845653 14873914 25691306 29747828 51382612 59495656 102765224 141302183 282604366 565208732 1130417464