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122730660 = 223351317483
BaseRepresentation
bin1110101000010…
…11100010100100
322112221100211000
413110023202210
5222404340120
620102313300
73020123223
oct724134244
9275840730
10122730660
11633073a8
1235128830
131c571ac0
141242acba
15ab94990
hex750b8a4

122730660 has 96 divisors (see below), whose sum is σ = 411223680. Its totient is φ = 30208896.

The previous prime is 122730659. The next prime is 122730661. The reversal of 122730660 is 66037221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122730659) and next prime (122730661).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122730661) 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, 1722 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (4283580).

Almost surely, 2122730660 is an apocalyptic number.

122730660 is a gapful number since it is divisible by the number (10) 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 122730660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205611840).

122730660 is an abundant number, since it is smaller than the sum of its proper divisors (288493020).

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

122730660 is a wasteful number, since it uses less digits than its factorization.

122730660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17514 (or 17506 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 122730660 is about 11078.3870667169. The cubic root of 122730660 is about 496.9557156164.

Adding to 122730660 its reverse (66037221), we get a palindrome (188767881).

The spelling of 122730660 in words is "one hundred twenty-two million, seven hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 17483 34966 52449 69932 87415 104898 157347 174830 209796 227279 262245 314694 349660 454558 472041 524490 629388 681837 786735 909116 944082 1048980 1136395 1363674 1573470 1888164 2045511 2272790 2360205 2727348 3146940 3409185 4091022 4545580 4720410 6136533 6818370 8182044 9440820 10227555 12273066 13636740 20455110 24546132 30682665 40910220 61365330 122730660