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3921696 = 25341789
BaseRepresentation
bin1110111101011100100000
321101020120000
432331130200
52000443241
6220020000
745222342
oct16753440
97336500
103921696
112239479
121391600
13a7403c
14741292
15526eb6
hex3bd720

3921696 has 120 divisors (see below), whose sum is σ = 12349260. Its totient is φ = 1216512.

The previous prime is 3921689. The next prime is 3921719. The reversal of 3921696 is 6961293.

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 1296 = 1980^2 + 36^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3921696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44020 + ... + 44108.

Almost surely, 23921696 is an apocalyptic number.

3921696 is a gapful number since it is divisible by the number (36) 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 3921696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174630).

3921696 is an abundant number, since it is smaller than the sum of its proper divisors (8427564).

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

3921696 is a wasteful number, since it uses less digits than its factorization.

3921696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 3921696 is about 1980.3272456844. The cubic root of 3921696 is about 157.6974394645.

The spelling of 3921696 in words is "three million, nine hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 89 96 102 108 136 144 153 162 178 204 216 267 272 288 306 324 356 408 432 459 534 544 612 648 712 801 816 864 918 1068 1224 1296 1377 1424 1513 1602 1632 1836 2136 2403 2448 2592 2754 2848 3026 3204 3672 4272 4539 4806 4896 5508 6052 6408 7209 7344 8544 9078 9612 11016 12104 12816 13617 14418 14688 18156 19224 22032 24208 25632 27234 28836 36312 38448 40851 44064 48416 54468 57672 72624 76896 81702 108936 115344 122553 145248 163404 217872 230688 245106 326808 435744 490212 653616 980424 1307232 1960848 3921696