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16748940 = 223513109197
BaseRepresentation
bin111111111001…
…000110001100
31011111221020010
4333321012030
513241431230
61354553220
7262235505
oct77710614
934457203
1016748940
1194aa7aa
125738810
133615720
14231dbac
15170c9b0
hexff918c

16748940 has 96 divisors (see below), whose sum is σ = 51226560. Its totient is φ = 4064256.

The previous prime is 16748939. The next prime is 16748983. The reversal of 16748940 is 4984761.

It is a happy number.

It is a super-2 number, since 2×167489402 = 561053982247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 84922 + ... + 85118.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 216748940 is an apocalyptic number.

16748940 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 16748940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

16748940 is an abundant number, since it is smaller than the sum of its proper divisors (34477620).

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

16748940 is a wasteful number, since it uses less digits than its factorization.

16748940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

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

The square root of 16748940 is about 4092.5468842763. The cubic root of 16748940 is about 255.8560999544.

The spelling of 16748940 in words is "sixteen million, seven hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 197 218 260 327 390 394 436 545 591 654 780 788 985 1090 1182 1308 1417 1635 1970 2180 2364 2561 2834 2955 3270 3940 4251 5122 5668 5910 6540 7085 7683 8502 10244 11820 12805 14170 15366 17004 21255 21473 25610 28340 30732 38415 42510 42946 51220 64419 76830 85020 85892 107365 128838 153660 214730 257676 279149 322095 429460 558298 644190 837447 1116596 1288380 1395745 1674894 2791490 3349788 4187235 5582980 8374470 16748940