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32540140240 = 24519118118127
BaseRepresentation
bin11110010011100010…
…110010001011010000
310002222210000101201021
4132103202302023100
51013120233441430
622540532045224
72231242425346
oct362342621320
9102883011637
1032540140240
1112889073a93
126381763814
1330b7709b6a
141809947996
15ca6b3307a
hex7938b22d0

32540140240 has 80 divisors (see below), whose sum is σ = 79709541120. Its totient is φ = 12319879680.

The previous prime is 32540140231. The next prime is 32540140253. The reversal of 32540140240 is 4204104523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1786057 + ... + 1804183.

It is an arithmetic number, because the mean of its divisors is an integer number (996369264).

Almost surely, 232540140240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32540140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39854770560).

32540140240 is an abundant number, since it is smaller than the sum of its proper divisors (47169400880).

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

32540140240 is a wasteful number, since it uses less digits than its factorization.

32540140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19340 (or 19334 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 32540140240 its reverse (4204104523), we get a palindrome (36744244763).

The spelling of 32540140240 in words is "thirty-two billion, five hundred forty million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1181 1520 2362 4724 5905 9448 11810 18127 18896 22439 23620 36254 44878 47240 72508 89756 90635 94480 112195 145016 179512 181270 224390 290032 344413 359024 362540 448780 688826 725080 897560 1377652 1450160 1722065 1795120 2755304 3444130 5510608 6888260 13776520 21407987 27553040 42815974 85631948 107039935 171263896 214079870 342527792 406751753 428159740 813503506 856319480 1627007012 1712638960 2033758765 3254014024 4067517530 6508028048 8135035060 16270070120 32540140240