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21035040 = 2535133371
BaseRepresentation
bin101000000111…
…1100000100000
31110120200122120
41100033200200
520341110130
62030504240
7343536435
oct120174040
943520576
1021035040
1110967a34
127065080
134486590
142b17b8c
151ca7910
hex140f820

21035040 has 96 divisors (see below), whose sum is σ = 71378496. Its totient is φ = 5176320.

The previous prime is 21035029. The next prime is 21035059. The reversal of 21035040 is 4053012.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 4555 + ... + 7925.

It is an arithmetic number, because the mean of its divisors is an integer number (743526).

Almost surely, 221035040 is an apocalyptic number.

21035040 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 21035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35689248).

21035040 is an abundant number, since it is smaller than the sum of its proper divisors (50343456).

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

21035040 is a wasteful number, since it uses less digits than its factorization.

21035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3394 counting only the distinct ones).

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

The square root of 21035040 is about 4586.3972789108. The cubic root of 21035040 is about 276.0457811056.

Adding to 21035040 its reverse (4053012), we get a palindrome (25088052).

The spelling of 21035040 in words is "twenty-one million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 3371 6240 6742 10113 13484 16855 20226 26968 33710 40452 43823 50565 53936 67420 80904 87646 101130 107872 131469 134840 161808 175292 202260 219115 262938 269680 323616 350584 404520 438230 525876 539360 657345 701168 809040 876460 1051752 1314690 1402336 1618080 1752920 2103504 2629380 3505840 4207008 5258760 7011680 10517520 21035040