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16944100 = 22522353139
BaseRepresentation
bin100000010100…
…0101111100100
31011212211221021
41000220233210
513314202400
61403100524
7264010465
oct100505744
934784837
1016944100
119623398
125811744
1336834c4
142370d6c
15174a71a
hex1028be4

16944100 has 72 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 6314880.

The previous prime is 16944097. The next prime is 16944119. The reversal of 16944100 is 144961.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121831 + ... + 121969.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 216944100 is an apocalyptic number.

16944100 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 16944100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

16944100 is an abundant number, since it is smaller than the sum of its proper divisors (22428380).

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

16944100 is a wasteful number, since it uses less digits than its factorization.

16944100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 16944100 is about 4116.3211730865. The cubic root of 16944100 is about 256.8460169603.

It can be divided in two parts, 169 and 44100, that multiplied together give a square (7452900 = 27302).

The spelling of 16944100 in words is "sixteen million, nine hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 139 212 230 265 278 460 530 556 575 695 1060 1150 1219 1325 1390 2300 2438 2650 2780 3197 3475 4876 5300 6095 6394 6950 7367 12190 12788 13900 14734 15985 24380 29468 30475 31970 36835 60950 63940 73670 79925 121900 147340 159850 169441 184175 319700 338882 368350 677764 736700 847205 1694410 3388820 4236025 8472050 16944100