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3995136 = 2933172
BaseRepresentation
bin1111001111011000000000
321111222022000
433033120000
52010321021
6221344000
745646425
oct17173000
97458260
103995136
112289672
121408000
13a9b5b2
1475dd4c
1553db26
hex3cf600

3995136 has 120 divisors (see below), whose sum is σ = 12562440. Its totient is φ = 1253376.

The previous prime is 3995129. The next prime is 3995161. The reversal of 3995136 is 6315993.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×39951362 = 31922223316992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3995136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235000 + ... + 235016.

It is an arithmetic number, because the mean of its divisors is an integer number (104687).

Almost surely, 23995136 is an apocalyptic number.

3995136 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 3995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281220).

3995136 is an abundant number, since it is smaller than the sum of its proper divisors (8567304).

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

3995136 is an equidigital number, since it uses as much as digits as its factorization.

3995136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 22 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 3995136 is about 1998.7836301111. The cubic root of 3995136 is about 158.6757364430.

The spelling of 3995136 in words is "three million, nine hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 289 306 384 408 432 459 512 544 576 578 612 768 816 864 867 918 1088 1152 1156 1224 1536 1632 1728 1734 1836 2176 2304 2312 2448 2601 3264 3456 3468 3672 4352 4608 4624 4896 5202 6528 6912 6936 7344 7803 8704 9248 9792 10404 13056 13824 13872 14688 15606 18496 19584 20808 26112 27744 29376 31212 36992 39168 41616 55488 58752 62424 73984 78336 83232 110976 117504 124848 147968 166464 221952 235008 249696 332928 443904 499392 665856 998784 1331712 1997568 3995136