Search a number
-
+
4117088820 = 22351329182011
BaseRepresentation
bin1111010101100101…
…1100101000110100
3101121221000210010010
43311121130220310
531412433320240
61520311300220
7204011451255
oct36531345064
911557023103
104117088820
111822a97849
1296a97a670
13507c69540
142b0b12b2c
151916a3280
hexf565ca34

4117088820 has 96 divisors (see below), whose sum is σ = 12842766720. Its totient is φ = 978485760.

The previous prime is 4117088819. The next prime is 4117088851. The reversal of 4117088820 is 288807114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 68386 + ... + 113625.

It is an arithmetic number, because the mean of its divisors is an integer number (133778820).

Almost surely, 24117088820 is an apocalyptic number.

It is an amenable number.

4117088820 is an abundant number, since it is smaller than the sum of its proper divisors (8725677900).

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

4117088820 is a wasteful number, since it uses less digits than its factorization.

4117088820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182065 (or 182063 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 4117088820 is about 64164.5448826687. The cubic root of 4117088820 is about 1602.7412409209.

The spelling of 4117088820 in words is "four billion, one hundred seventeen million, eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 870 1131 1508 1740 1885 2262 3770 4524 5655 7540 11310 22620 182011 364022 546033 728044 910055 1092066 1820110 2184132 2366143 2730165 3640220 4732286 5278319 5460330 7098429 9464572 10556638 10920660 11830715 14196858 15834957 21113276 23661430 26391595 28393716 31669914 35492145 47322860 52783190 63339828 68618147 70984290 79174785 105566380 137236294 141968580 158349570 205854441 274472588 316699140 343090735 411708882 686181470 823417764 1029272205 1372362940 2058544410 4117088820