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1121749720 = 235713378329
BaseRepresentation
bin100001011011100…
…1000101011011000
32220011202210022221
41002313020223120
54244131442340
6303150553424
736540500230
oct10267105330
92804683287
101121749720
11526220193
12273808874
1314b527640
14a8da0cc0
156873044a
hex42dc8ad8

1121749720 has 128 divisors (see below), whose sum is σ = 3190723200. Its totient is φ = 345378816.

The previous prime is 1121749693. The next prime is 1121749747. The reversal of 1121749720 is 279471211.

It is an interprime number because it is at equal distance from previous prime (1121749693) and next prime (1121749747).

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, 130516 + ... + 138844.

It is an arithmetic number, because the mean of its divisors is an integer number (24927525).

Almost surely, 21121749720 is an apocalyptic number.

1121749720 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 1121749720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595361600).

1121749720 is an abundant number, since it is smaller than the sum of its proper divisors (2068973480).

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

1121749720 is a wasteful number, since it uses less digits than its factorization.

1121749720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 1121749720 is about 33492.5323019923. The cubic root of 1121749720 is about 1039.0393372544.

The spelling of 1121749720 in words is "one billion, one hundred twenty-one million, seven hundred forty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 37 40 52 56 65 70 74 91 104 130 140 148 182 185 259 260 280 296 364 370 455 481 518 520 728 740 910 962 1036 1295 1480 1820 1924 2072 2405 2590 3367 3640 3848 4810 5180 6734 8329 9620 10360 13468 16658 16835 19240 26936 33316 33670 41645 58303 66632 67340 83290 108277 116606 134680 166580 216554 233212 291515 308173 333160 433108 466424 541385 583030 616346 757939 866216 1082770 1166060 1232692 1515878 1540865 2157211 2165540 2332120 2465384 3031756 3081730 3789695 4006249 4314422 4331080 6063512 6163460 7579390 8012498 8628844 10786055 12326920 15158780 16024996 17257688 20031245 21572110 28043743 30317560 32049992 40062490 43144220 56087486 80124980 86288440 112174972 140218715 160249960 224349944 280437430 560874860 1121749720