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80415840 = 25352953109
BaseRepresentation
bin1001100101100…
…00110001100000
312121022112210110
410302300301200
5131041301330
611551331320
71664344341
oct462606140
9177275713
1080415840
114143567a
1222b20b40
131387774b
14a9740c8
1570d6db0
hex4cb0c60

80415840 has 192 divisors, whose sum is σ = 269438400. Its totient is φ = 20127744.

The previous prime is 80415833. The next prime is 80415859. The reversal of 80415840 is 4851408.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 80415798 and 80415807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737706 + ... + 737814.

It is an arithmetic number, because the mean of its divisors is an integer number (1403325).

Almost surely, 280415840 is an apocalyptic number.

80415840 is a gapful number since it is divisible by the number (80) 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 80415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134719200).

80415840 is an abundant number, since it is smaller than the sum of its proper divisors (189022560).

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

80415840 is a wasteful number, since it uses less digits than its factorization.

80415840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 80415840 is about 8967.4879425623. The cubic root of 80415840 is about 431.6322315834.

The spelling of 80415840 in words is "eighty million, four hundred fifteen thousand, eight hundred forty".