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20132040 = 23351271321
BaseRepresentation
bin100110011001…
…1000011001000
31101212210222010
41030303003020
520123211130
61555255520
7333055665
oct114630310
941783863
1020132040
1110400555
1268aa5a0
13422b566
142960a6c
151b7a0b0
hex13330c8

20132040 has 64 divisors (see below), whose sum is σ = 60917760. Its totient is φ = 5322240.

The previous prime is 20132011. The next prime is 20132053. The reversal of 20132040 is 4023102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 14580 + ... + 15900.

It is an arithmetic number, because the mean of its divisors is an integer number (951840).

Almost surely, 220132040 is an apocalyptic number.

20132040 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 20132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30458880).

20132040 is an abundant number, since it is smaller than the sum of its proper divisors (40785720).

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

20132040 is a wasteful number, since it uses less digits than its factorization.

20132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20132040 is about 4486.8741903468. The cubic root of 20132040 is about 272.0378047223.

Adding to 20132040 its reverse (4023102), we get a palindrome (24155142).

The spelling of 20132040 in words is "twenty million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1321 1524 1905 2540 2642 3048 3810 3963 5080 5284 6605 7620 7926 10568 13210 15240 15852 19815 26420 31704 39630 52840 79260 158520 167767 335534 503301 671068 838835 1006602 1342136 1677670 2013204 2516505 3355340 4026408 5033010 6710680 10066020 20132040