Search a number
-
+
2100336 = 243721947
BaseRepresentation
bin1000000000110001110000
310221201010020
420000301300
51014202321
6113003440
723565300
oct10006160
93851106
102100336
111205017
12853580
13587004
143c9600
152b74c6
hex200c70

2100336 has 120 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 556416.

The previous prime is 2100313. The next prime is 2100353. The reversal of 2100336 is 6330012.

It is a super-2 number, since 2×21003362 = 8822822625792, which contains 22 as substring.

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, 44665 + ... + 44711.

It is an arithmetic number, because the mean of its divisors is an integer number (56544).

22100336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2100336 is an abundant number, since it is smaller than the sum of its proper divisors (4684944).

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

2100336 is a wasteful number, since it uses less digits than its factorization.

2100336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2100336 is about 1449.2536009960. The cubic root of 2100336 is about 128.0647458901.

Adding to 2100336 its reverse (6330012), we get a palindrome (8430348).

It can be divided in two parts, 2100 and 336, that multiplied together give a square (705600 = 8402).

The spelling of 2100336 in words is "two million, one hundred thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 47 48 49 56 57 76 84 94 98 112 114 133 141 147 152 168 188 196 228 266 282 294 304 329 336 376 392 399 456 532 564 588 658 752 784 798 893 912 931 987 1064 1128 1176 1316 1596 1786 1862 1974 2128 2256 2303 2352 2632 2679 2793 3192 3572 3724 3948 4606 5264 5358 5586 6251 6384 6909 7144 7448 7896 9212 10716 11172 12502 13818 14288 14896 15792 18424 18753 21432 22344 25004 27636 36848 37506 42864 43757 44688 50008 55272 75012 87514 100016 110544 131271 150024 175028 262542 300048 350056 525084 700112 1050168 2100336