Search a number
-
+
4202341080 = 233575984793
BaseRepresentation
bin1111101001111010…
…1010001011011000
3101211212110001020020
43322132222023120
532101244403310
61532554430440
7206065211160
oct37236521330
911755401206
104202341080
111867126063
12993432420
1351c818472
142bc1855a0
15198de3170
hexfa7aa2d8

4202341080 has 128 divisors (see below), whose sum is σ = 14652403200. Its totient is φ = 944243712.

The previous prime is 4202341079. The next prime is 4202341127. The reversal of 4202341080 is 801432024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4202341080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7164 + ... + 91956.

It is an arithmetic number, because the mean of its divisors is an integer number (114471900).

Almost surely, 24202341080 is an apocalyptic number.

4202341080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202341080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326201600).

4202341080 is an abundant number, since it is smaller than the sum of its proper divisors (10450062120).

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

4202341080 is a wasteful number, since it uses less digits than its factorization.

4202341080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84873 (or 84869 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4202341080 is about 64825.4662921911. The cubic root of 4202341080 is about 1613.7283653860.

The spelling of 4202341080 in words is "four billion, two hundred two million, three hundred forty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 105 118 120 140 168 177 210 236 280 295 354 413 420 472 590 708 826 840 885 1180 1239 1416 1652 1770 2065 2360 2478 3304 3540 4130 4956 6195 7080 8260 9912 12390 16520 24780 49560 84793 169586 254379 339172 423965 508758 593551 678344 847930 1017516 1187102 1271895 1695860 1780653 2035032 2374204 2543790 2967755 3391720 3561306 4748408 5002787 5087580 5935510 7122612 8903265 10005574 10175160 11871020 14245224 15008361 17806530 20011148 23742040 25013935 30016722 35019509 35613060 40022296 50027870 60033444 70039018 71226120 75041805 100055740 105058527 120066888 140078036 150083610 175097545 200111480 210117054 280156072 300167220 350195090 420234108 525292635 600334440 700390180 840468216 1050585270 1400780360 2101170540 4202341080