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20121440 = 255671877
BaseRepresentation
bin100110011000…
…0011101100000
31101212021102112
41030300131200
520122341230
61555134452
7333013043
oct114603540
941767375
1020121440
11103a3599
1268a4428
1342267a1
14295ac5a
151b76d95
hex1330760

20121440 has 48 divisors (see below), whose sum is σ = 48272112. Its totient is φ = 7924224.

The previous prime is 20121433. The next prime is 20121467. The reversal of 20121440 is 4412102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9782 + ... + 11658.

It is an arithmetic number, because the mean of its divisors is an integer number (1005669).

Almost surely, 220121440 is an apocalyptic number.

20121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24136056).

20121440 is an abundant number, since it is smaller than the sum of its proper divisors (28150672).

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

20121440 is a wasteful number, since it uses less digits than its factorization.

20121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 20121440 is about 4485.6928115956. The cubic root of 20121440 is about 271.9900515393.

Adding to 20121440 its reverse (4412102), we get a palindrome (24533542).

The spelling of 20121440 in words is "twenty million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 1877 2144 2680 3754 5360 7508 9385 10720 15016 18770 30032 37540 60064 75080 125759 150160 251518 300320 503036 628795 1006072 1257590 2012144 2515180 4024288 5030360 10060720 20121440