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16944240 = 2435174153
BaseRepresentation
bin100000010100…
…0110001110000
31011212212010110
41000220301300
513314203430
61403101320
7264011055
oct100506160
934785113
1016944240
119623505
125811840
1336835a1
14237102c
15174a7b0
hex1028c70

16944240 has 80 divisors (see below), whose sum is σ = 55630368. Its totient is φ = 4251648.

The previous prime is 16944229. The next prime is 16944241. The reversal of 16944240 is 4244961.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 16944198 and 16944207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16944241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2004 + ... + 6156.

Almost surely, 216944240 is an apocalyptic number.

16944240 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 16944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815184).

16944240 is an abundant number, since it is smaller than the sum of its proper divisors (38686128).

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

16944240 is a wasteful number, since it uses less digits than its factorization.

16944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 16944240 is about 4116.3381785271. The cubic root of 16944240 is about 256.8467243520.

The spelling of 16944240 in words is "sixteen million, nine hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 4153 8306 12459 16612 20765 24918 33224 41530 49836 62295 66448 70601 83060 99672 124590 141202 166120 199344 211803 249180 282404 332240 353005 423606 498360 564808 706010 847212 996720 1059015 1129616 1412020 1694424 2118030 2824040 3388848 4236060 5648080 8472120 16944240