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19976040 = 2332577927
BaseRepresentation
bin100110000110…
…0111101101000
31101120212222100
41030030331220
520103213130
61552053400
7331536120
oct114147550
941525870
1019976040
1110304327
126834260
1341a5556
14291dc80
151b48c60
hex130cf68

19976040 has 96 divisors (see below), whose sum is σ = 74206080. Its totient is φ = 4565376.

The previous prime is 19975999. The next prime is 19976053. The reversal of 19976040 is 4067991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19975986 and 19976004.

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, 1444 + ... + 6483.

It is an arithmetic number, because the mean of its divisors is an integer number (772980).

Almost surely, 219976040 is an apocalyptic number.

19976040 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 19976040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37103040).

19976040 is an abundant number, since it is smaller than the sum of its proper divisors (54230040).

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

19976040 is a wasteful number, since it uses less digits than its factorization.

19976040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7951 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 19976040 is about 4469.4563427782. The cubic root of 19976040 is about 271.3333226011. Note that the first 4 decimals are identical.

The spelling of 19976040 in words is "nineteen million, nine hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 7927 15854 23781 31708 39635 47562 55489 63416 71343 79270 95124 110978 118905 142686 158540 166467 190248 221956 237810 277445 285372 317080 332934 356715 443912 475620 499401 554890 570744 665868 713430 832335 951240 998802 1109780 1331736 1426860 1664670 1997604 2219560 2497005 2853720 3329340 3995208 4994010 6658680 9988020 19976040