Search a number
-
+
1074131712 = 2833198179
BaseRepresentation
bin100000000000101…
…1111001100000000
32202212011112201000
41000001133030000
54144434203322
6254330212000
735421653223
oct10001371400
92685145630
101074131712
11501357065
1225b884000
131416c44c4
14a29275ba
15644763ac
hex4005f300

1074131712 has 144 divisors (see below), whose sum is σ = 3343984000. Its totient is φ = 339158016.

The previous prime is 1074131687. The next prime is 1074131743. The reversal of 1074131712 is 2171314701.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127239 + ... + 135417.

Almost surely, 21074131712 is an apocalyptic number.

1074131712 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 1074131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671992000).

1074131712 is an abundant number, since it is smaller than the sum of its proper divisors (2269852288).

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

1074131712 is an equidigital number, since it uses as much as digits as its factorization.

1074131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1074131712 is about 32773.9486787906. The cubic root of 1074131712 is about 1024.1239270587.

The spelling of 1074131712 in words is "one billion, seventy-four million, one hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8179 8208 10944 14592 16358 16416 21888 24537 32716 32832 43776 49074 65432 65664 73611 98148 130864 131328 147222 155401 196296 220833 261728 294444 310802 392592 441666 466203 523456 588888 621604 785184 883332 932406 1046912 1177776 1243208 1398609 1570368 1766664 1864812 2093824 2355552 2486416 2797218 3140736 3533328 3729624 4195827 4711104 4972832 5594436 6281472 7066656 7459248 8391654 9422208 9945664 11188872 14133312 14918496 16783308 18844416 19891328 22377744 28266624 29836992 33566616 39782656 44755488 56533248 59673984 67133232 89510976 119347968 134266464 179021952 268532928 358043904 537065856 1074131712