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16996672 = 267113449
BaseRepresentation
bin100000011010…
…1100101000000
31011222112001101
41000311211000
513322343142
61404144144
7264316660
oct100654500
934875041
1016996672
119659940
125838054
1336a1404
1423861a0
15175b0b7
hex1035940

16996672 has 56 divisors (see below), whose sum is σ = 42062400. Its totient is φ = 6620160.

The previous prime is 16996667. The next prime is 16996687. The reversal of 16996672 is 27669961.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3204 + ... + 6652.

Almost surely, 216996672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21031200).

16996672 is an abundant number, since it is smaller than the sum of its proper divisors (25065728).

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

16996672 is a wasteful number, since it uses less digits than its factorization.

16996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3469 counting only the distinct ones).

The product of its digits is 244944, while the sum is 46.

The square root of 16996672 is about 4122.7020265840. The cubic root of 16996672 is about 257.1113790980. Note that the first 3 decimals are identical.

Subtracting 16996672 from its reverse (27669961), we obtain a square (10673289 = 32672).

The spelling of 16996672 in words is "sixteen million, nine hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 3449 4928 6898 13796 24143 27592 37939 48286 55184 75878 96572 110368 151756 193144 220736 265573 303512 386288 531146 607024 772576 1062292 1214048 1545152 2124584 2428096 4249168 8498336 16996672