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19970496 = 2633713127
BaseRepresentation
bin100110000101…
…1100111000000
31101120121101000
41030023213000
520103023441
61552012000
7331514010
oct114134700
941517330
1019970496
1110300147
126831000
1341a2b80
14291bc40
151b472b6
hex130b9c0

19970496 has 224 divisors, whose sum is σ = 72826880. Its totient is φ = 5225472.

The previous prime is 19970471. The next prime is 19970507. The reversal of 19970496 is 69407991.

19970496 is a `hidden beast` number, since 1 + 99 + 70 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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, 157185 + ... + 157311.

It is an arithmetic number, because the mean of its divisors is an integer number (325120).

Almost surely, 219970496 is an apocalyptic number.

19970496 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 19970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36413440).

19970496 is an abundant number, since it is smaller than the sum of its proper divisors (52856384).

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

19970496 is a wasteful number, since it uses less digits than its factorization.

19970496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 19970496 is about 4468.8360900798. The cubic root of 19970496 is about 271.3082190083.

The spelling of 19970496 in words is "nineteen million, nine hundred seventy thousand, four hundred ninety-six".