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1230018560 = 21151131063
BaseRepresentation
bin100100101010000…
…1001100000000000
310011201111102020222
41021110021200000
510004341043220
6322015322212
742323661641
oct11124114000
93151442228
101230018560
1158134a171
122a3b20368
13167aa4a44
14b95056c8
1572eb9e25
hex49509800

1230018560 has 96 divisors (see below), whose sum is σ = 2980242720. Its totient is φ = 487194624.

The previous prime is 1230018547. The next prime is 1230018563. The reversal of 1230018560 is 658100321.

It is a super-4 number, since 4×12300185604 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230018563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1156589 + ... + 1157651.

It is an arithmetic number, because the mean of its divisors is an integer number (31044195).

Almost surely, 21230018560 is an apocalyptic number.

1230018560 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 1230018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490121360).

1230018560 is an abundant number, since it is smaller than the sum of its proper divisors (1750224160).

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

1230018560 is a wasteful number, since it uses less digits than its factorization.

1230018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1230018560 is about 35071.6204359023. The cubic root of 1230018560 is about 1071.4466588100.

Adding to 1230018560 its reverse (658100321), we get a palindrome (1888118881).

The spelling of 1230018560 in words is "one billion, two hundred thirty million, eighteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 512 565 640 904 1024 1063 1130 1280 1808 2048 2126 2260 2560 3616 4252 4520 5120 5315 7232 8504 9040 10240 10630 14464 17008 18080 21260 28928 34016 36160 42520 57856 68032 72320 85040 115712 120119 136064 144640 170080 231424 240238 272128 289280 340160 480476 544256 578560 600595 680320 960952 1088512 1157120 1201190 1360640 1921904 2177024 2402380 2721280 3843808 4804760 5442560 7687616 9609520 10885120 15375232 19219040 30750464 38438080 61500928 76876160 123001856 153752320 246003712 307504640 615009280 1230018560