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1126942560 = 253252113709
BaseRepresentation
bin100001100101011…
…1100011101100000
32220112112121120100
41003022330131200
54301444130220
6303454142400
736632565552
oct10312743540
92815477510
101126942560
11529147697
122754b1a00
1314c625123
14a99534d2
1568e08d90
hex432bc760

1126942560 has 144 divisors (see below), whose sum is σ = 3864959280. Its totient is φ = 299013120.

The previous prime is 1126942519. The next prime is 1126942567. The reversal of 1126942560 is 652496211.

1126942560 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 94 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126942567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301986 + ... + 305694.

It is an arithmetic number, because the mean of its divisors is an integer number (26839995).

Almost surely, 21126942560 is an apocalyptic number.

1126942560 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 1126942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932479640).

1126942560 is an abundant number, since it is smaller than the sum of its proper divisors (2738016720).

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

1126942560 is a wasteful number, since it uses less digits than its factorization.

1126942560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1126942560 is about 33569.9651474350. The cubic root of 1126942560 is about 1040.6401876960.

The spelling of 1126942560 in words is "one billion, one hundred twenty-six million, nine hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 211 240 288 360 422 480 633 720 844 1055 1266 1440 1688 1899 2110 2532 3165 3376 3709 3798 4220 5064 6330 6752 7418 7596 8440 9495 10128 11127 12660 14836 15192 16880 18545 18990 20256 22254 25320 29672 30384 33381 33760 37090 37980 44508 50640 55635 59344 60768 66762 74180 75960 89016 101280 111270 118688 133524 148360 151920 166905 178032 222540 267048 296720 303840 333810 356064 445080 534096 593440 667620 782599 890160 1068192 1335240 1565198 1780320 2347797 2670480 3130396 3912995 4695594 5340960 6260792 7043391 7825990 9391188 11738985 12521584 14086782 15651980 18782376 23477970 25043168 28173564 31303960 35216955 37564752 46955940 56347128 62607920 70433910 75129504 93911880 112694256 125215840 140867820 187823760 225388512 281735640 375647520 563471280 1126942560