[go: up one dir, main page]

Search a number
-
+
16100000 = 2555723
BaseRepresentation
bin111101011010…
…101010100000
31010021222001022
4331122222200
513110200000
61333025012
7253563530
oct75325240
933258038
1016100000
1190a7194
125485168
133449237
1421d14c0
151630585
hexf5aaa0

16100000 has 144 divisors (see below), whose sum is σ = 47246976. Its totient is φ = 5280000.

The previous prime is 16099987. The next prime is 16100027. The reversal of 16100000 is 161.

16100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 4.

It is a congruent number.

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, 699989 + ... + 700011.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 216100000 is an apocalyptic number.

16100000 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 16100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488).

16100000 is an abundant number, since it is smaller than the sum of its proper divisors (31146976).

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

16100000 is an frugal number, since it uses more digits than its factorization.

16100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 16100000 is about 4012.4805295478. The cubic root of 16100000 is about 252.5080871834.

Adding to 16100000 its reverse (161), we get a palindrome (16100161).

16100000 divided by its reverse (161) gives a 5-th power (100000 = 105).

The spelling of 16100000 in words is "sixteen million, one hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 70 80 92 100 112 115 125 140 160 161 175 184 200 224 230 250 280 322 350 368 400 460 500 560 575 625 644 700 736 800 805 875 920 1000 1120 1150 1250 1288 1400 1610 1750 1840 2000 2300 2500 2576 2800 2875 3125 3220 3500 3680 4000 4025 4375 4600 5000 5152 5600 5750 6250 6440 7000 8050 8750 9200 10000 11500 12500 12880 14000 14375 16100 17500 18400 20000 20125 21875 23000 25000 25760 28000 28750 32200 35000 40250 43750 46000 50000 57500 64400 70000 71875 80500 87500 92000 100000 100625 115000 128800 140000 143750 161000 175000 201250 230000 287500 322000 350000 402500 460000 503125 575000 644000 700000 805000 1006250 1150000 1610000 2012500 2300000 3220000 4025000 8050000 16100000