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4456140 = 22351329197
BaseRepresentation
bin10000111111111011001100
322101101200020
4100333323030
52120044030
6235302140
752606443
oct20777314
98341606
104456140
112573a67
1215aa950
13c00390
1483dd5a
155d0510
hex43fecc

4456140 has 96 divisors (see below), whose sum is σ = 13970880. Its totient is φ = 1053696.

The previous prime is 4456121. The next prime is 4456147. The reversal of 4456140 is 416544.

It is a self number, because there is not a number n which added to its sum of digits gives 4456140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22522 + ... + 22718.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 24456140 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 4456140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985440).

4456140 is an abundant number, since it is smaller than the sum of its proper divisors (9514740).

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

4456140 is a wasteful number, since it uses less digits than its factorization.

4456140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4456140 is about 2110.9571288873. The cubic root of 4456140 is about 164.5582305712.

The spelling of 4456140 in words is "four million, four hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 197 260 290 348 377 390 394 435 580 591 754 780 788 870 985 1131 1182 1508 1740 1885 1970 2262 2364 2561 2955 3770 3940 4524 5122 5655 5713 5910 7540 7683 10244 11310 11426 11820 12805 15366 17139 22620 22852 25610 28565 30732 34278 38415 51220 57130 68556 74269 76830 85695 114260 148538 153660 171390 222807 297076 342780 371345 445614 742690 891228 1114035 1485380 2228070 4456140