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3066601320 = 2332513961283
BaseRepresentation
bin1011011011001000…
…1001111101101000
321220201100111011200
42312302021331220
522240022220240
61224143524200
7135664452426
oct26662117550
97821314150
103066601320
11133401aa62
12716bb9660
1339b4330c3
142113c2116
1512e34c930
hexb6c89f68

3066601320 has 96 divisors (see below), whose sum is σ = 10038319200. Its totient is φ = 811863936.

The previous prime is 3066601319. The next prime is 3066601331. The reversal of 3066601320 is 231066603.

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 23 ways as a sum of consecutive naturals, for example, 19399 + ... + 80681.

It is an arithmetic number, because the mean of its divisors is an integer number (104565825).

Almost surely, 23066601320 is an apocalyptic number.

3066601320 is a gapful number since it is divisible by the number (30) 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 3066601320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019159600).

3066601320 is an abundant number, since it is smaller than the sum of its proper divisors (6971717880).

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

3066601320 is a wasteful number, since it uses less digits than its factorization.

3066601320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61439 (or 61432 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3066601320 is about 55376.9024052447. The cubic root of 3066601320 is about 1452.8444078688.

Adding to 3066601320 its reverse (231066603), we get a palindrome (3297667923).

The spelling of 3066601320 in words is "three billion, sixty-six million, six hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 61283 122566 183849 245132 306415 367698 490264 551547 612830 735396 919245 1103094 1225660 1470792 1838490 2206188 2451320 2757735 3676980 4412376 5515470 7353960 8518337 11030940 17036674 22061880 25555011 34073348 42591685 51110022 68146696 76665033 85183370 102220044 127775055 153330066 170366740 204440088 255550110 306660132 340733480 383325165 511100220 613320264 766650330 1022200440 1533300660 3066601320