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1130403768 = 2331347157491
BaseRepresentation
bin100001101100000…
…1001011110111000
32220210001110110020
41003120021132320
54303340410033
6304100250440
740004162544
oct10330113670
92823043406
101130403768
115300a109a
122766a0a20
13150267690
14aa1b4a24
156938e6b3
hex436097b8

1130403768 has 128 divisors (see below), whose sum is σ = 3134315520. Its totient is φ = 337559040.

The previous prime is 1130403707. The next prime is 1130403821. The reversal of 1130403768 is 8673040311.

It is a super-3 number, since 3×11304037683 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302003 + ... + 2302493.

It is an arithmetic number, because the mean of its divisors is an integer number (24486840).

Almost surely, 21130403768 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 1130403768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567157760).

1130403768 is an abundant number, since it is smaller than the sum of its proper divisors (2003911752).

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

1130403768 is a wasteful number, since it uses less digits than its factorization.

1130403768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1130403768 is about 33621.4777783488. The cubic root of 1130403768 is about 1041.7044806013.

The spelling of 1130403768 in words is "one billion, one hundred thirty million, four hundred three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 157 188 282 312 314 376 471 491 564 611 628 942 982 1128 1222 1256 1473 1833 1884 1964 2041 2444 2946 3666 3768 3928 4082 4888 5892 6123 6383 7332 7379 8164 11784 12246 12766 14664 14758 16328 19149 22137 23077 24492 25532 29516 38298 44274 46154 48984 51064 59032 69231 76596 77087 88548 92308 95927 138462 153192 154174 177096 184616 191854 231261 276924 287781 300001 308348 383708 462522 553848 575562 600002 616696 767416 900003 925044 1002131 1151124 1200004 1800006 1850088 2004262 2302248 2400008 3006393 3600012 3623089 4008524 6012786 7200024 7246178 8017048 10869267 12025572 14492356 21738534 24051144 28984712 43477068 47100157 86954136 94200314 141300471 188400628 282600942 376801256 565201884 1130403768