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6000011020 = 2253743193977
BaseRepresentation
bin1011001011010000…
…01110011100001100
3120111011002010210101
411211220032130030
544242000323040
62431213020444
7301454152333
oct54550163414
916434063711
106000011020
1125a99390a3
1211b5484724
137480a0aa3
1440cc12d1a
15251b3b09a
hex165a0e70c

6000011020 has 96 divisors (see below), whose sum is σ = 13323739968. Its totient is φ = 2266693632.

The previous prime is 6000011011. The next prime is 6000011027. The reversal of 6000011020 is 201100006.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 6000010988 and 6000011006.

It is not an unprimeable number, because it can be changed into a prime (6000011027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6140772 + ... + 6141748.

It is an arithmetic number, because the mean of its divisors is an integer number (138788958).

Almost surely, 26000011020 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 6000011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661869984).

6000011020 is an abundant number, since it is smaller than the sum of its proper divisors (7323728948).

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

6000011020 is a wasteful number, since it uses less digits than its factorization.

6000011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 6000011020 is about 77459.7380579098. The cubic root of 6000011020 is about 1817.1217053131.

Adding to 6000011020 its reverse (201100006), we get a palindrome (6201111026).

The spelling of 6000011020 in words is "six billion, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 193 215 370 386 430 740 772 860 965 977 1591 1930 1954 3182 3860 3908 4885 6364 7141 7955 8299 9770 14282 15910 16598 19540 28564 31820 33196 35705 36149 41495 42011 71410 72298 82990 84022 142820 144596 165980 168044 180745 188561 210055 307063 361490 377122 420110 614126 722980 754244 840220 942805 1228252 1535315 1554407 1885610 3070630 3108814 3771220 6141260 6217628 6976757 7772035 8108123 13953514 15544070 16216246 27907028 31088140 32432492 34883785 40540615 69767570 81081230 139535140 162162460 300000551 600001102 1200002204 1500002755 3000005510 6000011020