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19936692 = 22374353
BaseRepresentation
bin100110000001…
…1010110110100
31101111220000000
41030003112310
520100433232
61551151300
7331313316
oct114032664
941456000
1019936692
1110287806
126815530
134190679
14290d7b6
151b3c27c
hex13035b4

19936692 has 96 divisors (see below), whose sum is σ = 54552960. Its totient is φ = 6368544.

The previous prime is 19936661. The next prime is 19936711. The reversal of 19936692 is 29663991.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 376138 + ... + 376190.

It is an arithmetic number, because the mean of its divisors is an integer number (568260).

Almost surely, 219936692 is an apocalyptic number.

19936692 is a gapful number since it is divisible by the number (12) 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 19936692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276480).

19936692 is an abundant number, since it is smaller than the sum of its proper divisors (34616268).

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

19936692 is an equidigital number, since it uses as much as digits as its factorization.

19936692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 19936692 is about 4465.0522953265. The cubic root of 19936692 is about 271.1550516783.

The spelling of 19936692 in words is "nineteen million, nine hundred thirty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 53 54 81 86 106 108 129 159 162 172 212 243 258 318 324 387 477 486 516 636 729 774 954 972 1161 1431 1458 1548 1908 2187 2279 2322 2862 2916 3483 4293 4374 4558 4644 5724 6837 6966 8586 8748 9116 10449 12879 13674 13932 17172 20511 20898 25758 27348 31347 38637 41022 41796 51516 61533 62694 77274 82044 94041 115911 123066 125388 154548 184599 188082 231822 246132 369198 376164 463644 553797 738396 1107594 1661391 2215188 3322782 4984173 6645564 9968346 19936692