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16487940 = 22357371061
BaseRepresentation
bin111110111001…
…011000000100
31011000200012110
4332321120010
513210103230
61345221020
7260100540
oct76713004
934020173
1016487940
1193416a7
125631770
1335539a1
142292a20
1516aa4b0
hexfb9604

16487940 has 96 divisors (see below), whose sum is σ = 54238464. Its totient is φ = 3663360.

The previous prime is 16487927. The next prime is 16487957. The reversal of 16487940 is 4978461.

It is a happy number.

16487940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15010 + ... + 16070.

It is an arithmetic number, because the mean of its divisors is an integer number (564984).

Almost surely, 216487940 is an apocalyptic number.

16487940 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 16487940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27119232).

16487940 is an abundant number, since it is smaller than the sum of its proper divisors (37750524).

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

16487940 is a wasteful number, since it uses less digits than its factorization.

16487940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 16487940 is about 4060.5344475820. The cubic root of 16487940 is about 254.5201278914.

The spelling of 16487940 in words is "sixteen million, four hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1061 1110 1295 1554 2122 2220 2590 3108 3183 3885 4244 5180 5305 6366 7427 7770 10610 12732 14854 15540 15915 21220 22281 29708 31830 37135 39257 44562 63660 74270 78514 89124 111405 117771 148540 157028 196285 222810 235542 274799 392570 445620 471084 549598 588855 785140 824397 1099196 1177710 1373995 1648794 2355420 2747990 3297588 4121985 5495980 8243970 16487940