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16468992 = 210321787
BaseRepresentation
bin111110110100…
…110000000000
31010222201012200
4332310300000
513204001432
61344553200
7256661361
oct76646000
933881180
1016468992
119329441
125622800
133548187
142289b68
1516a4a7c
hexfb4c00

16468992 has 66 divisors (see below), whose sum is σ = 47580468. Its totient is φ = 5486592.

The previous prime is 16468939. The next prime is 16468997. The reversal of 16468992 is 29986461.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (16468997) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8323 + ... + 10109.

Almost surely, 216468992 is an apocalyptic number.

16468992 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 16468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23790234).

16468992 is an abundant number, since it is smaller than the sum of its proper divisors (31111476).

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

16468992 is a wasteful number, since it uses less digits than its factorization.

16468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1792 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 16468992 is about 4058.2005864669. The cubic root of 16468992 is about 254.4225920366.

The spelling of 16468992 in words is "sixteen million, four hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1787 2304 3072 3574 4608 5361 7148 9216 10722 14296 16083 21444 28592 32166 42888 57184 64332 85776 114368 128664 171552 228736 257328 343104 457472 514656 686208 914944 1029312 1372416 1829888 2058624 2744832 4117248 5489664 8234496 16468992