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16872372 = 223211137311
BaseRepresentation
bin100000001011…
…1001110110100
31011202012112200
41000113032310
513304403442
61401344500
7263261406
oct100271664
934665480
1016872372
119584510
125798130
13365996a
142352b76
15173434c
hex10173b4

16872372 has 72 divisors (see below), whose sum is σ = 47017152. Its totient is φ = 5059200.

The previous prime is 16872343. The next prime is 16872379. The reversal of 16872372 is 27327861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16872379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54097 + ... + 54407.

It is an arithmetic number, because the mean of its divisors is an integer number (653016).

Almost surely, 216872372 is an apocalyptic number.

16872372 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 16872372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23508576).

16872372 is an abundant number, since it is smaller than the sum of its proper divisors (30144780).

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

16872372 is a wasteful number, since it uses less digits than its factorization.

16872372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 464 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 16872372 is about 4107.5992988606. The cubic root of 16872372 is about 256.4830762975.

The spelling of 16872372 in words is "sixteen million, eight hundred seventy-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 311 396 411 548 622 822 933 1233 1244 1507 1644 1866 2466 2799 3014 3421 3732 4521 4932 5598 6028 6842 9042 10263 11196 13563 13684 18084 20526 27126 30789 41052 42607 54252 61578 85214 123156 127821 170428 255642 383463 468677 511284 766926 937354 1406031 1533852 1874708 2812062 4218093 5624124 8436186 16872372