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16696992 = 2531317787
BaseRepresentation
bin111111101100…
…011010100000
31011102021222010
4333230122200
513233300432
61353512520
7261631164
oct77543240
934367863
1016696992
119474774
125712740
1335c7ba0
142308ca4
1516ec3cc
hexfec6a0

16696992 has 96 divisors (see below), whose sum is σ = 50041152. Its totient is φ = 4829184.

The previous prime is 16696987. The next prime is 16696997. The reversal of 16696992 is 29969661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16696987) and next prime (16696997).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16696997) 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 15 ways as a sum of consecutive naturals, for example, 20823 + ... + 21609.

It is an arithmetic number, because the mean of its divisors is an integer number (521262).

Almost surely, 216696992 is an apocalyptic number.

16696992 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 16696992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25020576).

16696992 is an abundant number, since it is smaller than the sum of its proper divisors (33344160).

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

16696992 is a wasteful number, since it uses less digits than its factorization.

16696992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its digits is 314928, while the sum is 48.

The square root of 16696992 is about 4086.1952963607. The cubic root of 16696992 is about 255.5913075235.

The spelling of 16696992 in words is "sixteen million, six hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 787 816 884 1248 1326 1574 1632 1768 2361 2652 3148 3536 4722 5304 6296 7072 9444 10231 10608 12592 13379 18888 20462 21216 25184 26758 30693 37776 40137 40924 53516 61386 75552 80274 81848 107032 122772 160548 163696 173927 214064 245544 321096 327392 347854 428128 491088 521781 642192 695708 982176 1043562 1284384 1391416 2087124 2782832 4174248 5565664 8348496 16696992