Search a number
-
+
6010100560 = 245234769497
BaseRepresentation
bin1011001100011101…
…01101101101010000
3120111212001202001001
411212032231231100
544302041204220
62432213151344
7301636004032
oct54616555520
916455052031
106010100560
1126045aa562
1211b892b554
1374a1c4329
144102bbc52
1525298080a
hex1663adb50

6010100560 has 80 divisors (see below), whose sum is σ = 14891475456. Its totient is φ = 2250558464.

The previous prime is 6010100557. The next prime is 6010100561. The reversal of 6010100560 is 650010106.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×60101005602 = 72242617482624627200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6010100561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51732 + ... + 121228.

Almost surely, 26010100560 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 6010100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445737728).

6010100560 is an abundant number, since it is smaller than the sum of its proper divisors (8881374896).

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

6010100560 is a wasteful number, since it uses less digits than its factorization.

6010100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69580 (or 69574 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 6010100560 is about 77524.8383423016. The cubic root of 6010100560 is about 1818.1396842782.

Adding to 6010100560 its reverse (650010106), we get a palindrome (6660110666).

The spelling of 6010100560 in words is "six billion, ten million, one hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1840 1880 2162 3760 4324 5405 8648 10810 17296 21620 43240 69497 86480 138994 277988 347485 555976 694970 1111952 1389940 1598431 2779880 3196862 3266359 5559760 6393724 6532718 7992155 12787448 13065436 15984310 16331795 25574896 26130872 31968620 32663590 52261744 63937240 65327180 75126257 127874480 130654360 150252514 261308720 300505028 375631285 601010056 751262570 1202020112 1502525140 3005050280 6010100560