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4140620 = 2251122959
BaseRepresentation
bin1111110010111001001100
321210100212022
433302321030
52024444440
6224425312
750123531
oct17627114
97710768
104140620
112378a00
121478238
13b1c893
1479ad88
1556bcb5
hex3f2e4c

4140620 has 72 divisors (see below), whose sum is σ = 10054800. Its totient is φ = 1429120.

The previous prime is 4140611. The next prime is 4140623. The reversal of 4140620 is 260414.

4140620 = T264 + T265 + ... + T350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 70151 + ... + 70209.

It is an arithmetic number, because the mean of its divisors is an integer number (139650).

Almost surely, 24140620 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 4140620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027400).

4140620 is an abundant number, since it is smaller than the sum of its proper divisors (5914180).

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

4140620 is a wasteful number, since it uses less digits than its factorization.

4140620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4140620 is about 2034.8513459219. The cubic root of 4140620 is about 160.5788925785.

The spelling of 4140620 in words is "four million, one hundred forty thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 59 110 116 118 121 145 220 236 242 290 295 319 484 580 590 605 638 649 1180 1210 1276 1298 1595 1711 2420 2596 3190 3245 3422 3509 6380 6490 6844 7018 7139 8555 12980 14036 14278 17110 17545 18821 28556 34220 35090 35695 37642 70180 71390 75284 94105 142780 188210 207031 376420 414062 828124 1035155 2070310 4140620