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1561057056 = 253313210691
BaseRepresentation
bin101110100001011…
…1101011100100000
311000210101220201000
41131002331130200
511144112311211
6414522512000
753453523516
oct13502753440
94023356630
101561057056
117311a32a9
12376965600
131bb54c400
1410b4784b6
15920aa656
hex5d0bd720

1561057056 has 144 divisors (see below), whose sum is σ = 4930722720. Its totient is φ = 480280320.

The previous prime is 1561057027. The next prime is 1561057073. The reversal of 1561057056 is 6507501651.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1561057056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140671 + ... + 151361.

It is an arithmetic number, because the mean of its divisors is an integer number (34241130).

Almost surely, 21561057056 is an apocalyptic number.

1561057056 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 1561057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465361360).

1561057056 is an abundant number, since it is smaller than the sum of its proper divisors (3369665664).

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

1561057056 is a wasteful number, since it uses less digits than its factorization.

1561057056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10709 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 1561057056 is about 39510.2145780050. The cubic root of 1561057056 is about 1160.0398955759.

The spelling of 1561057056 in words is "one billion, five hundred sixty-one million, fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 208 216 234 288 312 338 351 416 432 468 507 624 676 702 864 936 1014 1248 1352 1404 1521 1872 2028 2704 2808 3042 3744 4056 4563 5408 5616 6084 8112 9126 10691 11232 12168 16224 18252 21382 24336 32073 36504 42764 48672 64146 73008 85528 96219 128292 138983 146016 171056 192438 256584 277966 288657 342112 384876 416949 513168 555932 577314 769752 833898 1026336 1111864 1154628 1250847 1539504 1667796 1806779 2223728 2309256 2501694 3079008 3335592 3613558 3752541 4447456 4618512 5003388 5420337 6671184 7227116 7505082 9237024 10006776 10840674 13342368 14454232 15010164 16261011 20013552 21681348 28908464 30020328 32522022 40027104 43362696 48783033 57816928 60040656 65044044 86725392 97566066 120081312 130088088 173450784 195132132 260176176 390264264 520352352 780528528 1561057056