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19738940 = 2251331279
BaseRepresentation
bin100101101001…
…1000100111100
31101010211201212
41023103010330
520023121230
61543023552
7326530634
oct113230474
941124655
1019738940
1110162181
12673abb8
134121660
14289b6c4
151aed895
hex12d313c

19738940 has 72 divisors (see below), whose sum is σ = 46710720. Its totient is φ = 6963840.

The previous prime is 19738933. The next prime is 19738963. The reversal of 19738940 is 4983791.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249821 + ... + 249899.

It is an arithmetic number, because the mean of its divisors is an integer number (648760).

Almost surely, 219738940 is an apocalyptic number.

19738940 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 19738940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23355360).

19738940 is an abundant number, since it is smaller than the sum of its proper divisors (26971780).

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

19738940 is a wasteful number, since it uses less digits than its factorization.

19738940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 19738940 is about 4442.8526871820. The cubic root of 19738940 is about 270.2555422443.

The spelling of 19738940 in words is "nineteen million, seven hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 79 124 130 155 158 260 310 316 395 403 620 790 806 961 1027 1580 1612 1922 2015 2054 2449 3844 4030 4108 4805 4898 5135 8060 9610 9796 10270 12245 12493 19220 20540 24490 24986 31837 48980 49972 62465 63674 75919 124930 127348 151838 159185 249860 303676 318370 379595 636740 759190 986947 1518380 1973894 3947788 4934735 9869470 19738940