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16803972 = 2232466777
BaseRepresentation
bin100000000011…
…0100010000100
31011121201201100
41000012202010
513300211342
61400100100
7262555113
oct100064204
934551640
1016803972
119538089
125764630
1336347a3
142335c7a
15171de4c
hex1006884

16803972 has 18 divisors (see below), whose sum is σ = 42476798. Its totient is φ = 5601312.

The previous prime is 16803949. The next prime is 16803977. The reversal of 16803972 is 27930861.

It can be written as a sum of positive squares in only one way, i.e., 16451136 + 352836 = 4056^2 + 594^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 466777 = 16803972 / (1 + 6 + 8 + 0 + 3 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (16803977) 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, 233353 + ... + 233424.

Almost surely, 216803972 is an apocalyptic number.

16803972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16803972 is an abundant number, since it is smaller than the sum of its proper divisors (25672826).

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

16803972 is a wasteful number, since it uses less digits than its factorization.

16803972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466787 (or 466782 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16803972 is about 4099.2648121340. The cubic root of 16803972 is about 256.1360157738.

The spelling of 16803972 in words is "sixteen million, eight hundred three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 466777 933554 1400331 1867108 2800662 4200993 5601324 8401986 16803972