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16830272 = 261731499
BaseRepresentation
bin100000000110…
…0111101000000
31011200001210102
41000030331000
513302032042
61400421532
7263024564
oct100147500
934601712
1016830272
119555918
1257778a8
133643754
1423416a4
151726b32
hex100cf40

16830272 has 56 divisors (see below), whose sum is σ = 36576000. Its totient is φ = 7649280.

The previous prime is 16830271. The next prime is 16830287. The reversal of 16830272 is 27203861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16830271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33479 + ... + 33977.

Almost surely, 216830272 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 16830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288000).

16830272 is an abundant number, since it is smaller than the sum of its proper divisors (19745728).

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

16830272 is a wasteful number, since it uses less digits than its factorization.

16830272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 16830272 is about 4102.4714502358. The cubic root of 16830272 is about 256.2695728060.

The spelling of 16830272 in words is "sixteen million, eight hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 499 527 544 992 998 1054 1088 1984 1996 2108 3992 4216 7984 8432 8483 15469 15968 16864 16966 30938 31936 33728 33932 61876 67864 123752 135728 247504 262973 271456 495008 525946 542912 990016 1051892 2103784 4207568 8415136 16830272