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1126942080 = 27351153359
BaseRepresentation
bin100001100101011…
…1100010110000000
32220112112120220120
41003022330112000
54301444121310
6303454140240
736632564265
oct10312742600
92815476816
101126942080
115291472a0
122754b1680
1314c624b44
14a995326c
1568e08b70
hex432bc580

1126942080 has 128 divisors (see below), whose sum is σ = 3918758400. Its totient is φ = 273192960.

The previous prime is 1126942073. The next prime is 1126942097. The reversal of 1126942080 is 802496211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 5560 + ... + 47799.

It is an arithmetic number, because the mean of its divisors is an integer number (30615300).

Almost surely, 21126942080 is an apocalyptic number.

1126942080 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 1126942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959379200).

1126942080 is an abundant number, since it is smaller than the sum of its proper divisors (2791816320).

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

1126942080 is a wasteful number, since it uses less digits than its factorization.

1126942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53392 (or 53380 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1126942080 is about 33569.9579981864. The cubic root of 1126942080 is about 1040.6400399489.

The spelling of 1126942080 in words is "one billion, one hundred twenty-six million, nine hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 53359 106718 160077 213436 266795 320154 426872 533590 586949 640308 800385 853744 1067180 1173898 1280616 1600770 1707488 1760847 2134360 2347796 2561232 2934745 3201540 3414976 3521694 4268720 4695592 5122464 5869490 6403080 6829952 7043388 8537440 8804235 9391184 10244928 11738980 12806160 14086776 17074880 17608470 18782368 20489856 23477960 25612320 28173552 34149760 35216940 37564736 46955920 51224640 56347104 70433880 75129472 93911840 102449280 112694208 140867760 187823680 225388416 281735520 375647360 563471040 1126942080