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1230450048 = 27332912277
BaseRepresentation
bin100100101010111…
…0010110110000000
310011202022100011000
41021111302312000
510004443400143
6322032452000
742330436632
oct11125626600
93152270130
101230450048
11581614373
122a40aa000
13167bc6269
14b95b8a52
1573052bd3
hex49572d80

1230450048 has 128 divisors (see below), whose sum is σ = 3757068000. Its totient is φ = 395974656.

The previous prime is 1230450037. The next prime is 1230450049. The reversal of 1230450048 is 8400540321.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230450049) 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 15 ways as a sum of consecutive naturals, for example, 94086 + ... + 106362.

Almost surely, 21230450048 is an apocalyptic number.

1230450048 is a gapful number since it is divisible by the number (18) 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 1230450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878534000).

1230450048 is an abundant number, since it is smaller than the sum of its proper divisors (2526617952).

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

1230450048 is a wasteful number, since it uses less digits than its factorization.

1230450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1230450048 is about 35077.7714229396. The cubic root of 1230450048 is about 1071.5719312630.

Adding to 1230450048 its reverse (8400540321), we get a palindrome (9630990369).

The spelling of 1230450048 in words is "one billion, two hundred thirty million, four hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3456 3712 4176 5568 6264 8352 11136 12277 12528 16704 24554 25056 33408 36831 49108 50112 73662 98216 100224 110493 147324 196432 220986 294648 331479 356033 392864 441972 589296 662958 712066 785728 883944 1068099 1178592 1325916 1424132 1571456 1767888 2136198 2357184 2651832 2848264 3204297 3535776 4272396 4714368 5303664 5696528 6408594 7071552 8544792 9612891 10607328 11393056 12817188 14143104 17089584 19225782 21214656 22786112 25634376 34179168 38451564 42429312 45572224 51268752 68358336 76903128 102537504 136716672 153806256 205075008 307612512 410150016 615225024 1230450048