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1561130128 = 2417139157263
BaseRepresentation
bin101110100001100…
…1111010010010000
311000210112121221101
41131003033102100
511144122131003
6414524234144
753454246535
oct13503172220
94023477841
101561130128
11731243198
1237699b954
131bb57674c
1410b496d8c
15920c211d
hex5d0cf490

1561130128 has 80 divisors (see below), whose sum is σ = 3258541440. Its totient is φ = 721963008.

The previous prime is 1561130119. The next prime is 1561130141. The reversal of 1561130128 is 8210311651.

It is a junction number, because it is equal to n+sod(n) for n = 1561130096 and 1561130105.

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, 5935725 + ... + 5935987.

It is an arithmetic number, because the mean of its divisors is an integer number (40731768).

Almost surely, 21561130128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629270720).

1561130128 is an abundant number, since it is smaller than the sum of its proper divisors (1697411312).

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

1561130128 is a wasteful number, since it uses less digits than its factorization.

1561130128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 1561130128 is about 39511.1392900787. The cubic root of 1561130128 is about 1160.0579955150.

Adding to 1561130128 its reverse (8210311651), we get a palindrome (9771441779).

The spelling of 1561130128 in words is "one billion, five hundred sixty-one million, one hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 139 157 263 272 278 314 526 556 628 1052 1112 1256 2104 2224 2363 2512 2669 4208 4471 4726 5338 8942 9452 10676 17884 18904 21352 21823 35768 36557 37808 41291 42704 43646 71536 73114 82582 87292 146228 165164 174584 292456 330328 349168 370991 584912 621469 660656 701947 741982 1242938 1403894 1483964 2485876 2807788 2967928 4971752 5615576 5739449 5935856 9943504 11231152 11478898 22957796 45915592 91831184 97570633 195141266 390282532 780565064 1561130128