[go: up one dir, main page]

Search a number
-
+
1075121536 = 2719253439
BaseRepresentation
bin100000000010101…
…0000110110000000
32202221000211111011
41000011100312000
54200212342121
6254403330304
735433245056
oct10005206600
92687024434
101075121536
115019727a5
12260080994
1314197cbb8
14a2b041d6
15645be7e1
hex40150d80

1075121536 has 96 divisors (see below), whose sum is σ = 2308402800. Its totient is φ = 498521088.

The previous prime is 1075121527. The next prime is 1075121549. The reversal of 1075121536 is 6351215701.

It is a junction number, because it is equal to n+sod(n) for n = 1075121498 and 1075121507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2448805 + ... + 2449243.

Almost surely, 21075121536 is an apocalyptic number.

1075121536 is a gapful number since it is divisible by the number (16) 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 1075121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154201400).

1075121536 is an abundant number, since it is smaller than the sum of its proper divisors (1233281264).

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

1075121536 is an equidigital number, since it uses as much as digits as its factorization.

1075121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 1075121536 is about 32789.0459757523. The cubic root of 1075121536 is about 1024.4384109067.

The spelling of 1075121536 in words is "one billion, seventy-five million, one hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 212 304 361 424 439 608 722 848 878 1007 1216 1444 1696 1756 2014 2432 2888 3392 3512 4028 5776 6784 7024 8056 8341 11552 14048 16112 16682 19133 23104 23267 28096 32224 33364 38266 46208 46534 56192 64448 66728 76532 93068 128896 133456 153064 158479 186136 266912 306128 316958 372272 442073 533824 612256 633916 744544 884146 1067648 1224512 1267832 1489088 1768292 2449024 2535664 2978176 3536584 5071328 7073168 8399387 10142656 14146336 16798774 20285312 28292672 33597548 56585344 67195096 134390192 268780384 537560768 1075121536