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16872240 = 2435711283
BaseRepresentation
bin100000001011…
…1001100110000
31011202012100210
41000113030300
513304402430
61401344120
7263261130
oct100271460
934665323
1016872240
119584400
125798040
133659898
142352ac0
1517342b0
hex1017330

16872240 has 240 divisors, whose sum is σ = 66495744. Its totient is φ = 3463680.

The previous prime is 16872223. The next prime is 16872263. The reversal of 16872240 is 4227861.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16872198 and 16872207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203239 + ... + 203321.

Almost surely, 216872240 is an apocalyptic number.

16872240 is a gapful number since it is divisible by the number (10) 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 16872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

16872240 is an abundant number, since it is smaller than the sum of its proper divisors (49623504).

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

16872240 is a wasteful number, since it uses less digits than its factorization.

16872240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 16872240 is about 4107.5832310496. The cubic root of 16872240 is about 256.4824074358.

The spelling of 16872240 in words is "sixteen million, eight hundred seventy-two thousand, two hundred forty".