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1230060132 = 2232721315323
BaseRepresentation
bin100100101010001…
…0011101001100100
310011201120112021200
41021110103221210
510004343411012
6322020242500
742324224100
oct11124235144
93151515250
101230060132
11581378424
122a3b40430
13167aba942
14b9516900
1572ec73dc
hex49513a64

1230060132 has 108 divisors (see below), whose sum is σ = 3645257616. Its totient is φ = 348697440.

The previous prime is 1230060131. The next prime is 1230060149. The reversal of 1230060132 is 2310600321.

1230060132 is a `hidden beast` number, since 1 + 2 + 30 + 0 + 601 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1230060131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228423 + ... + 233745.

Almost surely, 21230060132 is an apocalyptic number.

1230060132 is a gapful number since it is divisible by the number (12) 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 1230060132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822628808).

1230060132 is an abundant number, since it is smaller than the sum of its proper divisors (2415197484).

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

1230060132 is a wasteful number, since it uses less digits than its factorization.

1230060132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1230060132 is about 35072.2131038234. The cubic root of 1230060132 is about 1071.4587295435.

Adding to 1230060132 its reverse (2310600321), we get a palindrome (3540660453).

The spelling of 1230060132 in words is "one billion, two hundred thirty million, sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 131 147 196 252 262 294 393 441 524 588 786 882 917 1179 1572 1764 1834 2358 2751 3668 4716 5323 5502 6419 8253 10646 11004 12838 15969 16506 19257 21292 25676 31938 33012 37261 38514 47907 57771 63876 74522 77028 95814 111783 115542 149044 191628 223566 231084 260827 335349 447132 521654 670698 697313 782481 1043308 1341396 1394626 1564962 2091939 2347443 2789252 3129924 4183878 4694886 4881191 6275817 8367756 9389772 9762382 12551634 14643573 19524764 25103268 29287146 34168337 43930719 58574292 68336674 87861438 102505011 136673348 175722876 205010022 307515033 410020044 615030066 1230060132