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4140656 = 2413171171
BaseRepresentation
bin1111110010111001110000
321210100220122
433302321300
52030000111
6224425412
750123612
oct17627160
97710818
104140656
112378a33
121478268
13b1c8c0
1479adb2
1556bcdb
hex3f2e70

4140656 has 40 divisors (see below), whose sum is σ = 9155664. Its totient is φ = 1797120.

The previous prime is 4140641. The next prime is 4140683. The reversal of 4140656 is 6560414.

It is a happy number.

It is a super-2 number, since 2×41406562 = 34290064220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2951 + ... + 4121.

Almost surely, 24140656 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 4140656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577832).

4140656 is an abundant number, since it is smaller than the sum of its proper divisors (5015008).

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

4140656 is a wasteful number, since it uses less digits than its factorization.

4140656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4140656 is about 2034.8601917577. The cubic root of 4140656 is about 160.5793579535.

The spelling of 4140656 in words is "four million, one hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1171 1768 2342 3536 4684 9368 15223 18736 19907 30446 39814 60892 79628 121784 159256 243568 258791 318512 517582 1035164 2070328 4140656