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16673940 = 22325175449
BaseRepresentation
bin111111100110…
…110010010100
31011101010100100
4333212302110
513232031230
61353214100
7261504033
oct77466224
934333310
1016673940
119459418
125701330
1335ba54a
14230071a
1516e5660
hexfe6c94

16673940 has 72 divisors (see below), whose sum is σ = 53562600. Its totient is φ = 4184064.

The previous prime is 16673929. The next prime is 16673971. The reversal of 16673940 is 4937661.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 15729156 = 972^2 + 3966^2 .

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 = 16673895 and 16673904.

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, 336 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (743925).

Almost surely, 216673940 is an apocalyptic number.

16673940 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 16673940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26781300).

16673940 is an abundant number, since it is smaller than the sum of its proper divisors (36888660).

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

16673940 is a wasteful number, since it uses less digits than its factorization.

16673940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 16673940 is about 4083.3736052436. The cubic root of 16673940 is about 255.4736295536.

The spelling of 16673940 in words is "sixteen million, six hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 5449 10898 16347 21796 27245 32694 49041 54490 65388 81735 92633 98082 108980 163470 185266 196164 245205 277899 326940 370532 463165 490410 555798 833697 926330 980820 1111596 1389495 1667394 1852660 2778990 3334788 4168485 5557980 8336970 16673940