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4216140 = 2232559397
BaseRepresentation
bin10000000101010101001100
321221012110100
4100011111030
52034404030
6230211100
750556645
oct20052514
97835410
104216140
11241a715
1214b3a90
13b48076
147ba6cc
15584360
hex40554c

4216140 has 72 divisors (see below), whose sum is σ = 13038480. Its totient is φ = 1102464.

The previous prime is 4216133. The next prime is 4216171. The reversal of 4216140 is 416124.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10422 + ... + 10818.

It is an arithmetic number, because the mean of its divisors is an integer number (181090).

Almost surely, 24216140 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 4216140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519240).

4216140 is an abundant number, since it is smaller than the sum of its proper divisors (8822340).

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

4216140 is a wasteful number, since it uses less digits than its factorization.

4216140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4216140 is about 2053.3241341785. The cubic root of 4216140 is about 161.5492729551.

It can be divided in two parts, 4216 and 140, that added together give a square (4356 = 662).

The spelling of 4216140 in words is "four million, two hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 397 531 590 708 794 885 1062 1180 1191 1588 1770 1985 2124 2382 2655 3540 3573 3970 4764 5310 5955 7146 7940 10620 11910 14292 17865 23423 23820 35730 46846 70269 71460 93692 117115 140538 210807 234230 281076 351345 421614 468460 702690 843228 1054035 1405380 2108070 4216140