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1230064512 = 27317613089
BaseRepresentation
bin100100101010001…
…0100101110000000
310011201120202021220
41021110110232000
510004344031022
6322020315040
742324242625
oct11124245600
93151522256
101230064512
11581380746
122a3b42a80
13167abc931
14b951834c
1572ec885c
hex49514b80

1230064512 has 128 divisors (see below), whose sum is σ = 3517408800. Its totient is φ = 379453440.

The previous prime is 1230064499. The next prime is 1230064543. The reversal of 1230064512 is 2154600321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396664 + ... + 399752.

Almost surely, 21230064512 is an apocalyptic number.

1230064512 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 1230064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758704400).

1230064512 is an abundant number, since it is smaller than the sum of its proper divisors (2287344288).

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

1230064512 is a wasteful number, since it uses less digits than its factorization.

1230064512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1230064512 is about 35072.2755463628. The cubic root of 1230064512 is about 1071.4600012926.

Adding to 1230064512 its reverse (2154600321), we get a palindrome (3384664833).

The spelling of 1230064512 in words is "one billion, two hundred thirty million, sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 96 102 122 128 136 183 192 204 244 272 366 384 408 488 544 732 816 976 1037 1088 1464 1632 1952 2074 2176 2928 3089 3111 3264 3904 4148 5856 6178 6222 6528 7808 8296 9267 11712 12356 12444 16592 18534 23424 24712 24888 33184 37068 49424 49776 52513 66368 74136 98848 99552 105026 132736 148272 157539 188429 197696 199104 210052 296544 315078 376858 395392 398208 420104 565287 593088 630156 753716 840208 1130574 1186176 1260312 1507432 1680416 2261148 2520624 3014864 3203293 3360832 4522296 5041248 6029728 6406586 6721664 9044592 9609879 10082496 12059456 12813172 18089184 19219758 20164992 24118912 25626344 36178368 38439516 51252688 72356736 76879032 102505376 153758064 205010752 307516128 410021504 615032256 1230064512