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1132470640 = 245717472531
BaseRepresentation
bin100001110000000…
…0010000101110000
32220220221110200001
41003200002011300
54304403030030
6304212435344
740030561450
oct10340020560
92826843601
101132470640
11531282a54
12277318b54
1315080c392
14aa591d60
156964bcca
hex43802170

1132470640 has 160 divisors (see below), whose sum is σ = 3255220224. Its totient is φ = 357519360.

The previous prime is 1132470631. The next prime is 1132470643. The reversal of 1132470640 is 460742311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1132470599 and 1132470608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132470643) 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, 446175 + ... + 448705.

Almost surely, 21132470640 is an apocalyptic number.

1132470640 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 1132470640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627610112).

1132470640 is an abundant number, since it is smaller than the sum of its proper divisors (2122749584).

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

1132470640 is a wasteful number, since it uses less digits than its factorization.

1132470640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1132470640 is about 33652.2011167175. The cubic root of 1132470640 is about 1042.3389910199.

The spelling of 1132470640 in words is "one billion, one hundred thirty-two million, four hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 47 56 68 70 80 85 94 112 119 136 140 170 188 235 238 272 280 329 340 376 470 476 560 595 658 680 752 799 940 952 1190 1316 1360 1598 1645 1880 1904 2380 2531 2632 3196 3290 3760 3995 4760 5062 5264 5593 6392 6580 7990 9520 10124 11186 12655 12784 13160 15980 17717 20248 22372 25310 26320 27965 31960 35434 40496 43027 44744 50620 55930 63920 70868 86054 88585 89488 101240 111860 118957 141736 172108 177170 202480 215135 223720 237914 283472 301189 344216 354340 430270 447440 475828 594785 602378 688432 708680 832699 860540 951656 1189570 1204756 1417360 1505945 1665398 1721080 1903312 2022269 2379140 2409512 3011890 3330796 3442160 4044538 4163495 4758280 4819024 6023780 6661592 8089076 8326990 9516560 10111345 12047560 13323184 14155883 16178152 16653980 20222690 24095120 28311766 32356304 33307960 40445380 56623532 66615920 70779415 80890760 113247064 141558830 161781520 226494128 283117660 566235320 1132470640