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1130003440 = 24597223653
BaseRepresentation
bin100001101011010…
…0111101111110000
32220202022010022021
41003112213233300
54303240102230
6304043521224
740000604446
oct10326475760
92822263267
101130003440
1152a948345
12276529214
131501573b7
14aa10cb96
1569310c7a
hex435a7bf0

1130003440 has 80 divisors (see below), whose sum is σ = 2670329088. Its totient is φ = 444653568.

The previous prime is 1130003429. The next prime is 1130003461. The reversal of 1130003440 is 443000311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1730154 + ... + 1730806.

Almost surely, 21130003440 is an apocalyptic number.

1130003440 is a gapful number since it is divisible by the number (10) 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 1130003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335164544).

1130003440 is an abundant number, since it is smaller than the sum of its proper divisors (1540325648).

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

1130003440 is a wasteful number, since it uses less digits than its factorization.

1130003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1130003440 is about 33615.5237948184. The cubic root of 1130003440 is about 1041.5814942485.

Adding to 1130003440 its reverse (443000311), we get a palindrome (1573003751).

The spelling of 1130003440 in words is "one billion, one hundred thirty million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 223 388 446 485 653 776 892 970 1115 1306 1552 1784 1940 2230 2612 3265 3568 3880 4460 5224 6530 7760 8920 10448 13060 17840 21631 26120 43262 52240 63341 86524 108155 126682 145619 173048 216310 253364 291238 316705 346096 432620 506728 582476 633410 728095 865240 1013456 1164952 1266820 1456190 1730480 2329904 2533640 2912380 5067280 5824760 11649520 14125043 28250086 56500172 70625215 113000344 141250430 226000688 282500860 565001720 1130003440