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16616412 = 223217191429
BaseRepresentation
bin111111011000…
…101111011100
31011021012102200
4333120233130
513223211122
61352051500
7261144231
oct77305734
934235380
1016616412
11941a17a
125693b90
13359a2c7
1422c7788
1516d35ac
hexfd8bdc

16616412 has 72 divisors (see below), whose sum is σ = 46846800. Its totient is φ = 4935168.

The previous prime is 16616407. The next prime is 16616417. The reversal of 16616412 is 21461661.

16616412 is a `hidden beast` number, since 1 + 6 + 616 + 41 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (16616407) and next prime (16616417).

It is a super-2 number, since 2×166164122 = 552210295507488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16616417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10914 + ... + 12342.

It is an arithmetic number, because the mean of its divisors is an integer number (650650).

Almost surely, 216616412 is an apocalyptic number.

16616412 is a gapful number since it is divisible by the number (12) 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 16616412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23423400).

16616412 is an abundant number, since it is smaller than the sum of its proper divisors (30230388).

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

16616412 is a wasteful number, since it uses less digits than its factorization.

16616412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1470 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 16616412 is about 4076.3233434064. The cubic root of 16616412 is about 255.1794814856.

It can be divided in two parts, 166164 and 12, that added together give a triangular number (166176 = T576).

The spelling of 16616412 in words is "sixteen million, six hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1429 1938 2858 2907 3876 4287 5716 5814 8574 11628 12861 17148 24293 25722 27151 48586 51444 54302 72879 81453 97172 108604 145758 162906 218637 244359 291516 325812 437274 461567 488718 874548 923134 977436 1384701 1846268 2769402 4154103 5538804 8308206 16616412