Search a number
-
+
4130626620 = 2235315094363
BaseRepresentation
bin1111011000110100…
…0101110000111100
3101122212111120111010
43312031011300330
531424420022440
61521513355220
7204234514131
oct36615056074
911585446433
104130626620
11182a6a3a0a
12973408b10
1350a9c9483
142b2838588
15192979580
hexf6345c3c

4130626620 has 96 divisors (see below), whose sum is σ = 11965040640. Its totient is φ = 1063630080.

The previous prime is 4130626579. The next prime is 4130626637. The reversal of 4130626620 is 266260314.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944559 + ... + 948921.

It is an arithmetic number, because the mean of its divisors is an integer number (124635840).

Almost surely, 24130626620 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 4130626620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982520320).

4130626620 is an abundant number, since it is smaller than the sum of its proper divisors (7834414020).

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

4130626620 is a wasteful number, since it uses less digits than its factorization.

4130626620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4130626620 is about 64269.9511435943. The cubic root of 4130626620 is about 1604.4960287239.

Adding to 4130626620 its reverse (266260314), we get a palindrome (4396886934).

The spelling of 4130626620 in words is "four billion, one hundred thirty million, six hundred twenty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 509 620 930 1018 1527 1860 2036 2545 3054 4363 5090 6108 7635 8726 10180 13089 15270 15779 17452 21815 26178 30540 31558 43630 47337 52356 63116 65445 78895 87260 94674 130890 135253 157790 189348 236685 261780 270506 315580 405759 473370 541012 676265 811518 946740 1352530 1623036 2028795 2220767 2705060 4057590 4441534 6662301 8115180 8883068 11103835 13324602 22207670 26649204 33311505 44415340 66623010 68843777 133246020 137687554 206531331 275375108 344218885 413062662 688437770 826125324 1032656655 1376875540 2065313310 4130626620