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1230023032 = 237175961359
BaseRepresentation
bin100100101010000…
…1010100101111000
310011201111122101121
41021110022211320
510004341214112
6322015355024
742324010660
oct11124124570
93151448347
101230023032
11581352567
122a3b22a74
13167aa6aa4
14b95071a0
1572ebb407
hex4950a978

1230023032 has 128 divisors (see below), whose sum is σ = 2892672000. Its totient is φ = 478402560.

The previous prime is 1230023029. The next prime is 1230023071. The reversal of 1230023032 is 2303200321.

It is a junction number, because it is equal to n+sod(n) for n = 1230022997 and 1230023015.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3426069 + ... + 3426427.

It is an arithmetic number, because the mean of its divisors is an integer number (22599000).

Almost surely, 21230023032 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 1230023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446336000).

1230023032 is an abundant number, since it is smaller than the sum of its proper divisors (1662648968).

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

1230023032 is a wasteful number, since it uses less digits than its factorization.

1230023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1230023032 is about 35071.6841910964. The cubic root of 1230023032 is about 1071.4479573009.

Adding to 1230023032 its reverse (2303200321), we get a palindrome (3533223353).

The spelling of 1230023032 in words is "one billion, two hundred thirty million, twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 59 61 68 118 119 122 136 236 238 244 359 413 427 472 476 488 718 826 854 952 1003 1037 1436 1652 1708 2006 2074 2513 2872 3304 3416 3599 4012 4148 5026 6103 7021 7198 7259 8024 8296 10052 12206 14042 14396 14518 20104 21181 21899 24412 25193 28084 28792 29036 42362 42721 43798 48824 50386 56168 58072 61183 84724 85442 87596 100772 122366 148267 153293 169448 170884 175192 201544 244732 296534 306586 341768 360077 372283 428281 489464 593068 613172 720154 744566 856562 1186136 1226344 1292041 1440308 1489132 1713124 2520539 2584082 2605981 2880616 2978264 3426248 5041078 5168164 5211962 9044287 10082156 10336328 10423924 18088574 20164312 20847848 21964697 36177148 43929394 72354296 87858788 153752879 175717576 307505758 615011516 1230023032