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16916112 = 2432791487
BaseRepresentation
bin100000010000…
…1111010010000
31011211102112200
41000201322100
513312303422
61402323200
7263533053
oct100417220
934742480
1016916112
119604364
1257b9500
133673845
142364a9a
1517422ac
hex1021e90

16916112 has 60 divisors (see below), whose sum is σ = 47973120. Its totient is φ = 5563584.

The previous prime is 16916101. The next prime is 16916129. The reversal of 16916112 is 21161961.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10633 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (799552).

Almost surely, 216916112 is an apocalyptic number.

16916112 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 16916112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986560).

16916112 is an abundant number, since it is smaller than the sum of its proper divisors (31057008).

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

16916112 is a wasteful number, since it uses less digits than its factorization.

16916112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1571 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 16916112 is about 4112.9201305155. The cubic root of 16916112 is about 256.7045209437.

The spelling of 16916112 in words is "sixteen million, nine hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1487 1896 2844 2974 3792 4461 5688 5948 8922 11376 11896 13383 17844 23792 26766 35688 53532 71376 107064 117473 214128 234946 352419 469892 704838 939784 1057257 1409676 1879568 2114514 2819352 4229028 5638704 8458056 16916112