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1125362040 = 2335112333659
BaseRepresentation
bin100001100010011…
…1010100101111000
32220102120022111120
41003010322211320
54301043041130
6303400225240
736613263615
oct10304724570
92812508446
101125362040
11528268180
12274a6b220
1314c1c08ca
14a966150c
1568be5910
hex4313a978

1125362040 has 128 divisors (see below), whose sum is σ = 3699820800. Its totient is φ = 271569920.

The previous prime is 1125362033. The next prime is 1125362041. The reversal of 1125362040 is 402635211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1125362040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125362041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305731 + ... + 309389.

It is an arithmetic number, because the mean of its divisors is an integer number (28904850).

Almost surely, 21125362040 is an apocalyptic number.

1125362040 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 1125362040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849910400).

1125362040 is an abundant number, since it is smaller than the sum of its proper divisors (2574458760).

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

1125362040 is a wasteful number, since it uses less digits than its factorization.

1125362040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1125362040 is about 33546.4162020327. The cubic root of 1125362040 is about 1040.1534660117.

Adding to 1125362040 its reverse (402635211), we get a palindrome (1527997251).

The spelling of 1125362040 in words is "one billion, one hundred twenty-five million, three hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 233 264 330 440 466 660 699 932 1165 1320 1398 1864 2330 2563 2796 3495 3659 4660 5126 5592 6990 7318 7689 9320 10252 10977 12815 13980 14636 15378 18295 20504 21954 25630 27960 29272 30756 36590 38445 40249 43908 51260 54885 61512 73180 76890 80498 87816 102520 109770 120747 146360 153780 160996 201245 219540 241494 307560 321992 402490 439080 482988 603735 804980 852547 965976 1207470 1609960 1705094 2414940 2557641 3410188 4262735 4829880 5115282 6820376 8525470 9378017 10230564 12788205 17050940 18756034 20461128 25576410 28134051 34101880 37512068 46890085 51152820 56268102 75024136 93780170 102305640 112536204 140670255 187560340 225072408 281340510 375120680 562681020 1125362040