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16930540 = 22511411877
BaseRepresentation
bin100000010010…
…1011011101100
31011212011100001
41000211123230
513313234130
61402514044
7263623114
oct100453354
934764301
1016930540
119614190
125805924
13367a293
14236a044
1517466ca
hex10256ec

16930540 has 48 divisors (see below), whose sum is σ = 39753504. Its totient is φ = 6003200.

The previous prime is 16930523. The next prime is 16930541. The reversal of 16930540 is 4503961.

16930540 = T368 + T369 + ... + T532.

It is a junction number, because it is equal to n+sod(n) for n = 16930499 and 16930508.

It is not an unprimeable number, because it can be changed into a prime (16930541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8082 + ... + 9958.

It is an arithmetic number, because the mean of its divisors is an integer number (828198).

Almost surely, 216930540 is an apocalyptic number.

16930540 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 16930540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19876752).

16930540 is an abundant number, since it is smaller than the sum of its proper divisors (22822964).

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

16930540 is a wasteful number, since it uses less digits than its factorization.

16930540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 16930540 is about 4114.6737416228. The cubic root of 16930540 is about 256.7774825544. Note that the first 3 decimals are identical.

The spelling of 16930540 in words is "sixteen million, nine hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 1877 2255 3754 4510 7508 9020 9385 18770 20647 37540 41294 76957 82588 103235 153914 206470 307828 384785 412940 769570 846527 1539140 1693054 3386108 4232635 8465270 16930540