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16613940 = 2235725651
BaseRepresentation
bin111111011000…
…001000110100
31011021002001010
4333120020310
513223121230
61352032220
7261134100
oct77301064
934232033
1016613940
119418332
125692670
133599145
1422c6900
1516d29b0
hexfd8234

16613940 has 72 divisors (see below), whose sum is σ = 54123552. Its totient is φ = 3796800.

The previous prime is 16613911. The next prime is 16613951. The reversal of 16613940 is 4931661.

16613940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16613898 and 16613907.

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, 115 + ... + 5765.

It is an arithmetic number, because the mean of its divisors is an integer number (751716).

Almost surely, 216613940 is an apocalyptic number.

16613940 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 16613940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27061776).

16613940 is an abundant number, since it is smaller than the sum of its proper divisors (37509612).

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

16613940 is a wasteful number, since it uses less digits than its factorization.

16613940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 16613940 is about 4076.0201177129. The cubic root of 16613940 is about 255.1668266285.

The spelling of 16613940 in words is "sixteen million, six hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 5651 11302 16953 22604 28255 33906 39557 56510 67812 79114 84765 113020 118671 158228 169530 197785 237342 276899 339060 395570 474684 553798 593355 791140 830697 1107596 1186710 1384495 1661394 2373420 2768990 3322788 4153485 5537980 8306970 16613940