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1047145440 = 253511198323
BaseRepresentation
bin111110011010100…
…010101111100000
32200222101111111110
4332122202233200
54121032123230
6251523543320
734643406105
oct7632425740
92628344443
101047145440
114980a4960
1225282ab40
13138c361b3
149d100aac
1561de54b0
hex3e6a2be0

1047145440 has 96 divisors (see below), whose sum is σ = 3598390656. Its totient is φ = 253852160.

The previous prime is 1047145391. The next prime is 1047145441. The reversal of 1047145440 is 445417401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1047145398 and 1047145407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047145441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93882 + ... + 104441.

It is an arithmetic number, because the mean of its divisors is an integer number (37483236).

Almost surely, 21047145440 is an apocalyptic number.

1047145440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1047145440 is an abundant number, since it is smaller than the sum of its proper divisors (2551245216).

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

1047145440 is a wasteful number, since it uses less digits than its factorization.

1047145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198352 (or 198344 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 1047145440 is about 32359.6266974760. The cubic root of 1047145440 is about 1015.4744528127.

The spelling of 1047145440 in words is "one billion, forty-seven million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 198323 396646 594969 793292 991615 1189938 1586584 1983230 2181553 2379876 2974845 3173168 3966460 4363106 4759752 5949690 6346336 6544659 7932920 8726212 9519504 10907765 11899380 13089318 15865840 17452424 19039008 21815530 23798760 26178636 31731680 32723295 34904848 43631060 47597520 52357272 65446590 69809696 87262120 95195040 104714544 130893180 174524240 209429088 261786360 349048480 523572720 1047145440