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1496380416 = 21031931827
BaseRepresentation
bin101100100110000…
…1111010000000000
310212021201000000220
41121030033100000
511031033133131
6404252343040
752040011056
oct13114172000
93767630026
101496380416
116a8738833
12359174a80
131ab0258cb
14102a401d6
158b581e96
hex5930f400

1496380416 has 176 divisors, whose sum is σ = 4338984960. Its totient is φ = 456744960.

The previous prime is 1496380399. The next prime is 1496380433. The reversal of 1496380416 is 6140836941.

It is an interprime number because it is at equal distance from previous prime (1496380399) and next prime (1496380433).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808995 + ... + 1809821.

Almost surely, 21496380416 is an apocalyptic number.

1496380416 is a gapful number since it is divisible by the number (16) 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 1496380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169492480).

1496380416 is an abundant number, since it is smaller than the sum of its proper divisors (2842604544).

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

1496380416 is a wasteful number, since it uses less digits than its factorization.

1496380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1496380416 is about 38683.0766098044. The cubic root of 1496380416 is about 1143.7927477588.

The spelling of 1496380416 in words is "one billion, four hundred ninety-six million, three hundred eighty thousand, four hundred sixteen".