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32534520240 = 2435135560501
BaseRepresentation
bin11110010011001101…
…010110000110110000
310002222101102212112010
4132103031112012300
51013112314121430
622540211402520
72231143600455
oct362315260660
9102871385463
1032534520240
1112885985662
12637b8b3440
1330b64bcb11
141808cc382c
15ca63c2cb0
hex7933561b0

32534520240 has 40 divisors (see below), whose sum is σ = 100857013488. Its totient is φ = 8675872000.

The previous prime is 32534520191. The next prime is 32534520241. The reversal of 32534520240 is 4202543523.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 32534520198 and 32534520207.

It is not an unprimeable number, because it can be changed into a prime (32534520241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67780011 + ... + 67780490.

Almost surely, 232534520240 is an apocalyptic number.

32534520240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32534520240 is an abundant number, since it is smaller than the sum of its proper divisors (68322493248).

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

32534520240 is a wasteful number, since it uses less digits than its factorization.

32534520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135560517 (or 135560511 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 32534520240 in words is "thirty-two billion, five hundred thirty-four million, five hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 135560501 271121002 406681503 542242004 677802505 813363006 1084484008 1355605010 1626726012 2033407515 2168968016 2711210020 3253452024 4066815030 5422420040 6506904048 8133630060 10844840080 16267260120 32534520240