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19442940 = 22351189331
BaseRepresentation
bin100101000101…
…0110011111100
31100120210200220
41022022303330
514434133230
61532421340
7324155646
oct112126374
940523626
1019442940
11aa7a850
126617850
1340499ca
142821896
151a90d10
hex128acfc

19442940 has 96 divisors (see below), whose sum is σ = 60238080. Its totient is φ = 4646400.

The previous prime is 19442939. The next prime is 19442953. The reversal of 19442940 is 4924491.

19442940 = T616 + T617 + ... + T704.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58575 + ... + 58905.

It is an arithmetic number, because the mean of its divisors is an integer number (627480).

Almost surely, 219442940 is an apocalyptic number.

19442940 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 19442940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30119040).

19442940 is an abundant number, since it is smaller than the sum of its proper divisors (40795140).

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

19442940 is a wasteful number, since it uses less digits than its factorization.

19442940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 19442940 is about 4409.4149271757. The cubic root of 19442940 is about 268.8978389764.

It can be divided in two parts, 1944 and 2940, that added together give a palindrome (4884).

The spelling of 19442940 in words is "nineteen million, four hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 331 356 445 534 660 662 890 979 993 1068 1324 1335 1655 1780 1958 1986 2670 2937 3310 3641 3916 3972 4895 4965 5340 5874 6620 7282 9790 9930 10923 11748 14564 14685 18205 19580 19860 21846 29370 29459 36410 43692 54615 58740 58918 72820 88377 109230 117836 147295 176754 218460 294590 324049 353508 441885 589180 648098 883770 972147 1296196 1620245 1767540 1944294 3240490 3888588 4860735 6480980 9721470 19442940