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19997440 = 28517919
BaseRepresentation
bin100110001001…
…0001100000000
31101121222022221
41030102030000
520104404230
61552340424
7331655401
oct114221400
941558287
1019997440
1110319411
126844714
1341b2208
1429279a8
151b5027a
hex1312300

19997440 has 72 divisors (see below), whose sum is σ = 50772960. Its totient is φ = 7520256.

The previous prime is 19997413. The next prime is 19997441. The reversal of 19997440 is 4479991.

It is not an unprimeable number, because it can be changed into a prime (19997441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21301 + ... + 22219.

It is an arithmetic number, because the mean of its divisors is an integer number (705180).

Almost surely, 219997440 is an apocalyptic number.

19997440 is a gapful number since it is divisible by the number (10) 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 19997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25386480).

19997440 is an abundant number, since it is smaller than the sum of its proper divisors (30775520).

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

19997440 is an equidigital number, since it uses as much as digits as its factorization.

19997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 19997440 is about 4471.8497291389. The cubic root of 19997440 is about 271.4301796501.

The spelling of 19997440 in words is "nineteen million, nine hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 919 1088 1280 1360 1838 2176 2720 3676 4352 4595 5440 7352 9190 10880 14704 15623 18380 21760 29408 31246 36760 58816 62492 73520 78115 117632 124984 147040 156230 235264 249968 294080 312460 499936 588160 624920 999872 1176320 1249840 1999744 2499680 3999488 4999360 9998720 19997440