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4905390 = 235724771
BaseRepresentation
bin10010101101100110101110
3100020012221010
4102231212232
52223433030
6253050050
756460300
oct22554656
910205833
104905390
112850546
121786926
1310299c9
14919970
1566d6b0
hex4ad9ae

4905390 has 96 divisors (see below), whose sum is σ = 14183424. Its totient is φ = 1081920.

The previous prime is 4905389. The next prime is 4905391. The reversal of 4905390 is 935094.

It is an interprime number because it is at equal distance from previous prime (4905389) and next prime (4905391).

It is a Harshad number since it is a multiple of its sum of digits (30).

4905390 is a modest number, since divided by 5390 gives 490 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4905391) 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 47 ways as a sum of consecutive naturals, for example, 69055 + ... + 69125.

It is an arithmetic number, because the mean of its divisors is an integer number (147744).

Almost surely, 24905390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4905390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091712).

4905390 is an abundant number, since it is smaller than the sum of its proper divisors (9278034).

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

4905390 is a wasteful number, since it uses less digits than its factorization.

4905390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 4905390 is about 2214.8115043949. The cubic root of 4905390 is about 169.9121807087.

The spelling of 4905390 in words is "four million, nine hundred five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 49 70 71 94 98 105 141 142 147 210 213 235 245 282 294 329 355 426 470 490 497 658 705 710 735 987 994 1065 1410 1470 1491 1645 1974 2130 2303 2485 2982 3290 3337 3479 4606 4935 4970 6674 6909 6958 7455 9870 10011 10437 11515 13818 14910 16685 17395 20022 20874 23030 23359 33370 34545 34790 46718 50055 52185 69090 70077 100110 104370 116795 140154 163513 233590 327026 350385 490539 700770 817565 981078 1635130 2452695 4905390