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19811970 = 23251723563
BaseRepresentation
bin100101110010…
…0111010000010
31101021112220200
41023210322002
520032440340
61544350030
7330253563
oct113447202
941245820
1019811970
1110202032
126775316
134148979
1428ba16a
151b15330
hex12e4e82

19811970 has 96 divisors (see below), whose sum is σ = 57013632. Its totient is φ = 4747776.

The previous prime is 19811969. The next prime is 19811971. The reversal of 19811970 is 7911891.

It is an interprime number because it is at equal distance from previous prime (19811969) and next prime (19811971).

It is not an unprimeable number, because it can be changed into a prime (19811971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 34909 + ... + 35471.

It is an arithmetic number, because the mean of its divisors is an integer number (593892).

Almost surely, 219811970 is an apocalyptic number.

19811970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19811970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28506816).

19811970 is an abundant number, since it is smaller than the sum of its proper divisors (37201662).

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

19811970 is a wasteful number, since it uses less digits than its factorization.

19811970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The square root of 19811970 is about 4451.0639177617. The cubic root of 19811970 is about 270.5884286017.

The spelling of 19811970 in words is "nineteen million, eight hundred eleven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 563 690 765 782 1035 1126 1173 1530 1689 1955 2070 2346 2815 3378 3519 3910 5067 5630 5865 7038 8445 9571 10134 11730 12949 16890 17595 19142 25335 25898 28713 35190 38847 47855 50670 57426 64745 77694 86139 95710 116541 129490 143565 172278 194235 220133 233082 287130 388470 430695 440266 582705 660399 861390 1100665 1165410 1320798 1981197 2201330 3301995 3962394 6603990 9905985 19811970