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19914090 = 23572192331
BaseRepresentation
bin100101111110…
…1110101101010
31101110201222220
41023331311222
520044222330
61550454510
7331160400
oct113756552
941421886
1019914090
1110271829
126804436
1341832b1
142905470
151b35710
hex12fdd6a

19914090 has 192 divisors, whose sum is σ = 63037440. Its totient is φ = 3991680.

The previous prime is 19914079. The next prime is 19914101. The reversal of 19914090 is 9041991.

It is an interprime number because it is at equal distance from previous prime (19914079) and next prime (19914101).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642375 + ... + 642405.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 219914090 is an apocalyptic number.

19914090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19914090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31518720).

19914090 is an abundant number, since it is smaller than the sum of its proper divisors (43123350).

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

19914090 is a wasteful number, since it uses less digits than its factorization.

19914090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 19914090 is about 4462.5205881878. The cubic root of 19914090 is about 271.0525444698.

The spelling of 19914090 in words is "nineteen million, nine hundred fourteen thousand, ninety".