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1216461040 = 24526956527
BaseRepresentation
bin100100010000001…
…1011100011110000
310010202222121211121
41020200123203300
54442403223130
6320412552024
742100514434
oct11040334360
93122877747
101216461040
1157472a203
1229b482614
13165038b42
14b77b69c4
1571bdcd7a
hex4881b8f0

1216461040 has 40 divisors (see below), whose sum is σ = 2838836160. Its totient is φ = 484766976.

The previous prime is 1216461023. The next prime is 1216461101. The reversal of 1216461040 is 401646121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1216460996 and 1216461014.

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, 6744 + ... + 49783.

It is an arithmetic number, because the mean of its divisors is an integer number (70970904).

Almost surely, 21216461040 is an apocalyptic number.

1216461040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216461040 is an abundant number, since it is smaller than the sum of its proper divisors (1622375120).

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

1216461040 is a wasteful number, since it uses less digits than its factorization.

1216461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56809 (or 56803 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1216461040 is about 34877.8015362207. The cubic root of 1216461040 is about 1067.4955371696.

The spelling of 1216461040 in words is "one billion, two hundred sixteen million, four hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 538 1076 1345 2152 2690 4304 5380 10760 21520 56527 113054 226108 282635 452216 565270 904432 1130540 2261080 4522160 15205763 30411526 60823052 76028815 121646104 152057630 243292208 304115260 608230520 1216461040