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20135040 = 273510487
BaseRepresentation
bin100110011001…
…1110010000000
31101212222002020
41030303302000
520123310130
61555321440
7333100512
oct114636200
941788066
1020135040
1110402832
1268b0280
13422ca33
142961bb2
151b7ae10
hex1333c80

20135040 has 64 divisors (see below), whose sum is σ = 64186560. Its totient is φ = 5368832.

The previous prime is 20135039. The next prime is 20135047. The reversal of 20135040 is 4053102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20135047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3324 + ... + 7163.

It is an arithmetic number, because the mean of its divisors is an integer number (1002915).

Almost surely, 220135040 is an apocalyptic number.

20135040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20135040 is an abundant number, since it is smaller than the sum of its proper divisors (44051520).

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

20135040 is a wasteful number, since it uses less digits than its factorization.

20135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10509 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20135040 is about 4487.2084863532. The cubic root of 20135040 is about 272.0513167307.

Adding to 20135040 its reverse (4053102), we get a palindrome (24188142).

The spelling of 20135040 in words is "twenty million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 10487 20974 31461 41948 52435 62922 83896 104870 125844 157305 167792 209740 251688 314610 335584 419480 503376 629220 671168 838960 1006752 1258440 1342336 1677920 2013504 2516880 3355840 4027008 5033760 6711680 10067520 20135040