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1130332040 = 235171989983
BaseRepresentation
bin100001101011111…
…0111111110001000
32220202220211001122
41003113313332020
54303331111130
6304054534412
740003443455
oct10327677610
92822824048
101130332040
11530052212
12276667408
13150240b36
14aa19682c
15693782e5
hex435f7f88

1130332040 has 128 divisors (see below), whose sum is σ = 2869344000. Its totient is φ = 398204928.

The previous prime is 1130332039. The next prime is 1130332051. The reversal of 1130332040 is 402330311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 1149389 + ... + 1150371.

It is an arithmetic number, because the mean of its divisors is an integer number (22416750).

Almost surely, 21130332040 is an apocalyptic number.

1130332040 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 1130332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434672000).

1130332040 is an abundant number, since it is smaller than the sum of its proper divisors (1739011960).

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

1130332040 is a wasteful number, since it uses less digits than its factorization.

1130332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1130332040 is about 33620.4110623294. The cubic root of 1130332040 is about 1041.6824468934.

Adding to 1130332040 its reverse (402330311), we get a palindrome (1532662351).

The spelling of 1130332040 in words is "one billion, one hundred thirty million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 89 95 136 152 170 178 190 323 340 356 380 445 646 680 712 760 890 983 1292 1513 1615 1691 1780 1966 2584 3026 3230 3382 3560 3932 4915 6052 6460 6764 7565 7864 8455 9830 12104 12920 13528 15130 16711 16910 18677 19660 28747 30260 33422 33820 37354 39320 57494 60520 66844 67640 74708 83555 87487 93385 114988 133688 143735 149416 167110 174974 186770 229976 287470 317509 334220 349948 373540 437435 574940 635018 668440 699896 747080 874870 1149880 1270036 1487279 1587545 1662253 1749740 2540072 2974558 3175090 3324506 3499480 5949116 6350180 6649012 7436395 8311265 11898232 12700360 13298024 14872790 16622530 28258301 29745580 33245060 56516602 59491160 66490120 113033204 141291505 226066408 282583010 565166020 1130332040