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1432120420 = 225536532069
BaseRepresentation
bin101010101011100…
…0110110001100100
310200210210020220001
41111113012301210
510413110323140
6354035151044
750326552123
oct12527066144
93623706801
101432120420
116754382a5
1233b745484
1319a916943
14d82b3aba
1585adbe9a
hex555c6c64

1432120420 has 48 divisors (see below), whose sum is σ = 3070373040. Its totient is φ = 560907776.

The previous prime is 1432120399. The next prime is 1432120439. The reversal of 1432120420 is 240212341.

It can be written as a sum of positive squares in 8 ways, for example, as 114575616 + 1317544804 = 10704^2 + 36298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691146 + ... + 693214.

It is an arithmetic number, because the mean of its divisors is an integer number (63966105).

Almost surely, 21432120420 is an apocalyptic number.

1432120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432120420 is an abundant number, since it is smaller than the sum of its proper divisors (1638252620).

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

1432120420 is a wasteful number, since it uses less digits than its factorization.

1432120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1432120420 is about 37843.3669220909. The cubic root of 1432120420 is about 1127.1797528048.

Adding to 1432120420 its reverse (240212341), we get a palindrome (1672332761).

The spelling of 1432120420 in words is "one billion, four hundred thirty-two million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 653 1060 1306 2069 2612 3265 4138 6530 8276 10345 13060 20690 34609 41380 69218 109657 138436 173045 219314 346090 438628 548285 692180 1096570 1351057 2193140 2702114 5404228 6755285 13510570 27021140 71606021 143212042 286424084 358030105 716060210 1432120420