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19870896 = 2432341439
BaseRepresentation
bin100101111001…
…1010010110000
31101101112202010
41023303102300
520041332041
61545522520
7330620433
oct113632260
941345663
1019870896
1110242331
1267a3440
134169736
1428d381a
151b27a16
hex12f34b0

19870896 has 80 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 6167040.

The previous prime is 19870889. The next prime is 19870913. The reversal of 19870896 is 69807891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45045 + ... + 45483.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 219870896 is an apocalyptic number.

19870896 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 19870896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

19870896 is an abundant number, since it is smaller than the sum of its proper divisors (35125584).

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

19870896 is a wasteful number, since it uses less digits than its factorization.

19870896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 19870896 is about 4457.6783194843. The cubic root of 19870896 is about 270.8564300828.

The spelling of 19870896 in words is "nineteen million, eight hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 439 492 552 656 878 943 984 1104 1317 1756 1886 1968 2634 2829 3512 3772 5268 5658 7024 7544 10097 10536 11316 15088 17999 20194 21072 22632 30291 35998 40388 45264 53997 60582 71996 80776 107994 121164 143992 161552 215988 242328 287984 413977 431976 484656 827954 863952 1241931 1655908 2483862 3311816 4967724 6623632 9935448 19870896