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32268740 = 2257832777
BaseRepresentation
bin111101100011…
…0000111000100
32020201102101112
41323012013010
531230044430
63111344152
7541164650
oct173060704
966642345
1032268740
111723aa89
12a982058
1368ba83a
1443dda60
152c76195
hex1ec61c4

32268740 has 48 divisors (see below), whose sum is σ = 78406272. Its totient is φ = 10926336.

The previous prime is 32268689. The next prime is 32268749. The reversal of 32268740 is 4786223.

It is a junction number, because it is equal to n+sod(n) for n = 32268697 and 32268706.

It is not an unprimeable number, because it can be changed into a prime (32268749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10232 + ... + 13008.

It is an arithmetic number, because the mean of its divisors is an integer number (1633464).

Almost surely, 232268740 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 32268740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39203136).

32268740 is an abundant number, since it is smaller than the sum of its proper divisors (46137532).

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

32268740 is a wasteful number, since it uses less digits than its factorization.

32268740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 32268740 is about 5680.5580711758. The cubic root of 32268740 is about 318.3664801670.

The spelling of 32268740 in words is "thirty-two million, two hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2777 2905 5554 5810 11108 11620 13885 19439 27770 38878 55540 77756 97195 194390 230491 388780 460982 921964 1152455 1613437 2304910 3226874 4609820 6453748 8067185 16134370 32268740