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16161930 = 2375739
BaseRepresentation
bin111101101001…
…110010001010
31010102010000000
4331221302022
513114140210
61334223430
7254242221
oct75516212
933363000
1016161930
119139774
1254b4b76
13346b495
142209cb8
151643ac0
hexf69c8a

16161930 has 64 divisors (see below), whose sum is σ = 43689600. Its totient is φ = 4304016.

The previous prime is 16161923. The next prime is 16161931. The reversal of 16161930 is 3916161.

16161930 is a `hidden beast` number, since 1 + 616 + 19 + 30 = 666.

It is a super-2 number, since 2×161619302 = 522415962649800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16161894 and 16161903.

It is not an unprimeable number, because it can be changed into a prime (16161931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21501 + ... + 22239.

It is an arithmetic number, because the mean of its divisors is an integer number (682650).

Almost surely, 216161930 is an apocalyptic number.

16161930 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 16161930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21844800).

16161930 is an abundant number, since it is smaller than the sum of its proper divisors (27527670).

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

16161930 is an frugal number, since it uses more digits than its factorization.

16161930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 16161930 is about 4020.1902940035. The cubic root of 16161930 is about 252.8314374493.

The spelling of 16161930 in words is "sixteen million, one hundred sixty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 739 810 1215 1458 1478 2187 2217 2430 3645 3695 4374 4434 6651 7290 7390 10935 11085 13302 19953 21870 22170 33255 39906 59859 66510 99765 119718 179577 199530 299295 359154 538731 598590 897885 1077462 1616193 1795770 2693655 3232386 5387310 8080965 16161930