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1129311720 = 23345348553
BaseRepresentation
bin100001101001111…
…1110110111101000
32220200222222110000
41003103332313220
54303100433340
6304021023000
736661663665
oct10323766750
92820888400
101129311720
1152a515679
12276254a60
1314cc745b4
14a9daca6c
1569225d30
hex434fede8

1129311720 has 80 divisors (see below), whose sum is σ = 3795753060. Its totient is φ = 301148928.

The previous prime is 1129311719. The next prime is 1129311731. The reversal of 1129311720 is 271139211.

It can be written as a sum of positive squares in 2 ways, for example, as 1069682436 + 59629284 = 32706^2 + 7722^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171037 + ... + 177516.

Almost surely, 21129311720 is an apocalyptic number.

1129311720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1129311720 is an abundant number, since it is smaller than the sum of its proper divisors (2666441340).

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

1129311720 is a wasteful number, since it uses less digits than its factorization.

1129311720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348576 (or 348563 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1129311720 is about 33605.2335209860. The cubic root of 1129311720 is about 1041.3689197294.

The spelling of 1129311720 in words is "one billion, one hundred twenty-nine million, three hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 348553 697106 1045659 1394212 1742765 2091318 2788424 3136977 3485530 4182636 5228295 6273954 6971060 8365272 9410931 10456590 12547908 13942120 15684885 18821862 20913180 25095816 28232793 31369770 37643724 41826360 47054655 56465586 62739540 75287448 94109310 112931172 125479080 141163965 188218620 225862344 282327930 376437240 564655860 1129311720