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4735140630 = 2351122962659
BaseRepresentation
bin1000110100011110…
…01000001100010110
3110020000000001210220
410122033020030112
534144144000010
62101510255210
7225225013503
oct43217101426
913200001726
104735140630
11200a955270
12b01957506
135a601587c
1432cc384aa
151caa89970
hex11a3c8316

4735140630 has 64 divisors (see below), whose sum is σ = 12451795200. Its totient is φ = 1142881920.

The previous prime is 4735140629. The next prime is 4735140637. The reversal of 4735140630 is 360415374.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4735140591 and 4735140600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735140637) 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, 44241 + ... + 106899.

It is an arithmetic number, because the mean of its divisors is an integer number (194559300).

Almost surely, 24735140630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4735140630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225897600).

4735140630 is an abundant number, since it is smaller than the sum of its proper divisors (7716654570).

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

4735140630 is a wasteful number, since it uses less digits than its factorization.

4735140630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62909.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 4735140630 is about 68812.3581197447. The cubic root of 4735140630 is about 1679.2330009309.

The spelling of 4735140630 in words is "four billion, seven hundred thirty-five million, one hundred forty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 229 330 458 687 1145 1374 2290 2519 3435 5038 6870 7557 12595 15114 25190 37785 62659 75570 125318 187977 313295 375954 626590 689249 939885 1378498 1879770 2067747 3446245 4135494 6892490 10338735 14348911 20677470 28697822 43046733 71744555 86093466 143489110 157838021 215233665 315676042 430467330 473514063 789190105 947028126 1578380210 2367570315 4735140630