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1432885140 = 22345884497
BaseRepresentation
bin101010101101000…
…0001011110010100
310200212020002220000
41111122001132110
510413304311030
6354103411300
750336215461
oct12532013624
93625202800
101432885140
1167590a8a5
1233ba53b30
1319ab23a3b
14d8432668
1585bdd860
hex55681794

1432885140 has 60 divisors (see below), whose sum is σ = 4495018836. Its totient is φ = 382102272.

The previous prime is 1432885123. The next prime is 1432885147. The reversal of 1432885140 is 415882341.

1432885140 is a `hidden beast` number, since 1 + 432 + 8 + 85 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 678394116 + 754491024 = 26046^2 + 27468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1432885095 and 1432885104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1432885147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 440629 + ... + 443868.

Almost surely, 21432885140 is an apocalyptic number.

1432885140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432885140 is an abundant number, since it is smaller than the sum of its proper divisors (3062133696).

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

1432885140 is a wasteful number, since it uses less digits than its factorization.

1432885140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884518 (or 884507 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1432885140 is about 37853.4693258095. The cubic root of 1432885140 is about 1127.3803466256.

The spelling of 1432885140 in words is "one billion, four hundred thirty-two million, eight hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 884497 1768994 2653491 3537988 4422485 5306982 7960473 8844970 10613964 13267455 15920946 17689940 23881419 26534910 31841892 39802365 47762838 53069820 71644257 79604730 95525676 119407095 143288514 159209460 238814190 286577028 358221285 477628380 716442570 1432885140