Search a number
-
+
6147939960 = 2333536715511
BaseRepresentation
bin1011011100111001…
…00001111001111000
3120212110102201011000
411232130201321320
5100042333034320
62454015405000
7305231425131
oct55634417170
916773381130
106147939960
112675396318
121236b23760
1376c9260c6
1442471cc88
1525eb0bc90
hex16e721e78

6147939960 has 128 divisors (see below), whose sum is σ = 20550297600. Its totient is φ = 1634878080.

The previous prime is 6147939947. The next prime is 6147939977. The reversal of 6147939960 is 699397416.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6147939897 and 6147939906.

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, 388605 + ... + 404115.

It is an arithmetic number, because the mean of its divisors is an integer number (160549200).

Almost surely, 26147939960 is an apocalyptic number.

6147939960 is a gapful number since it is divisible by the number (60) 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 6147939960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275148800).

6147939960 is an abundant number, since it is smaller than the sum of its proper divisors (14402357640).

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

6147939960 is a wasteful number, since it uses less digits than its factorization.

6147939960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15898 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 6147939960 is about 78408.8002713981. The cubic root of 6147939960 is about 1831.9342086236.

The spelling of 6147939960 in words is "six billion, one hundred forty-seven million, nine hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 367 540 734 1080 1101 1468 1835 2202 2936 3303 3670 4404 5505 6606 7340 8808 9909 11010 13212 14680 15511 16515 19818 22020 26424 31022 33030 39636 44040 46533 49545 62044 66060 77555 79272 93066 99090 124088 132120 139599 155110 186132 198180 232665 279198 310220 372264 396360 418797 465330 558396 620440 697995 837594 930660 1116792 1395990 1675188 1861320 2093985 2791980 3350376 4187970 5583960 5692537 8375940 11385074 16751880 17077611 22770148 28462685 34155222 45540296 51232833 56925370 68310444 85388055 102465666 113850740 136620888 153698499 170776110 204931332 227701480 256164165 307396998 341552220 409862664 512328330 614793996 683104440 768492495 1024656660 1229587992 1536984990 2049313320 3073969980 6147939960