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1987307820 = 22325172272861
BaseRepresentation
bin111011001110011…
…1110100100101100
312010111110200211100
41312130332210230
513032222322240
6525110523100
7100150560231
oct16634764454
95114420740
101987307820
1192a868863
12475666490
132589522b4
1414bd13788
15b9706e30
hex7673e92c

1987307820 has 144 divisors (see below), whose sum is σ = 6413123808. Its totient is φ = 496404480.

The previous prime is 1987307771. The next prime is 1987307879. The reversal of 1987307820 is 287037891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693190 + ... + 696050.

It is an arithmetic number, because the mean of its divisors is an integer number (44535582).

Almost surely, 21987307820 is an apocalyptic number.

1987307820 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 1987307820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206561904).

1987307820 is an abundant number, since it is smaller than the sum of its proper divisors (4425815988).

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

1987307820 is a wasteful number, since it uses less digits than its factorization.

1987307820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1987307820 is about 44579.2308143602. The cubic root of 1987307820 is about 1257.2502012948.

The spelling of 1987307820 in words is "one billion, nine hundred eighty-seven million, three hundred seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 227 255 306 340 454 510 612 681 765 908 1020 1135 1362 1530 2043 2270 2724 2861 3060 3405 3859 4086 4540 5722 6810 7718 8172 8583 10215 11444 11577 13620 14305 15436 17166 19295 20430 23154 25749 28610 34332 34731 38590 40860 42915 46308 48637 51498 57220 57885 69462 77180 85830 97274 102996 115770 128745 138924 145911 171660 173655 194548 231540 243185 257490 291822 347310 437733 486370 514980 583644 649447 694620 729555 875466 972740 1298894 1459110 1750932 1948341 2188665 2597788 2918220 3247235 3896682 4377330 5845023 6494470 7793364 8754660 9741705 11040599 11690046 12988940 19483410 22081198 23380092 29225115 33121797 38966820 44162396 55202995 58450230 66243594 99365391 110405990 116900460 132487188 165608985 198730782 220811980 331217970 397461564 496826955 662435940 993653910 1987307820