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1074142512 = 24334752903
BaseRepresentation
bin100000000000110…
…0001110100110000
32202212012002112000
41000001201310300
54144440030022
6254330334000
735422026552
oct10001416460
92685162460
101074142512
11501364193
1225b88a300
131416c93b1
14a292b4d2
15644796ac
hex40061d30

1074142512 has 80 divisors (see below), whose sum is σ = 3148846080. Its totient is φ = 350422848.

The previous prime is 1074142493. The next prime is 1074142519. The reversal of 1074142512 is 2152414701.

1074142512 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 142 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1074142519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6148 + ... + 46755.

It is an arithmetic number, because the mean of its divisors is an integer number (39360576).

Almost surely, 21074142512 is an apocalyptic number.

1074142512 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 1074142512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574423040).

1074142512 is an abundant number, since it is smaller than the sum of its proper divisors (2074703568).

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

1074142512 is a wasteful number, since it uses less digits than its factorization.

1074142512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52967 (or 52955 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1074142512 is about 32774.1134433870. The cubic root of 1074142512 is about 1024.1273594439.

The spelling of 1074142512 in words is "one billion, seventy-four million, one hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 20304 52903 105806 158709 211612 317418 423224 476127 634836 846448 952254 1269672 1428381 1904508 2486441 2539344 2856762 3809016 4972882 5713524 7459323 7618032 9945764 11427048 14918646 19891528 22377969 22854096 29837292 39783056 44755938 59674584 67133907 89511876 119349168 134267814 179023752 268535628 358047504 537071256 1074142512