Search a number
-
+
1561193790 = 2351331139929
BaseRepresentation
bin101110100001101…
…1110110100111110
311000210122212021020
41131003132310332
511144131200130
6414525445010
753454633252
oct13503366476
94023585236
101561193790
11731287002
12376a10766
131bb599710
1410b4b2262
15920d5e10
hex5d0ded3e

1561193790 has 128 divisors (see below), whose sum is σ = 4199731200. Its totient is φ = 368824320.

The previous prime is 1561193789. The next prime is 1561193797. The reversal of 1561193790 is 973911651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561193797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1680046 + ... + 1680974.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 21561193790 is an apocalyptic number.

1561193790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561193790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099865600).

1561193790 is an abundant number, since it is smaller than the sum of its proper divisors (2638537410).

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

1561193790 is a wasteful number, since it uses less digits than its factorization.

1561193790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122.

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 1561193790 is about 39511.9449027759. The cubic root of 1561193790 is about 1160.0737641360.

The spelling of 1561193790 in words is "one billion, five hundred sixty-one million, one hundred ninety-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 139 155 186 195 278 310 390 403 417 465 695 806 834 929 930 1209 1390 1807 1858 2015 2085 2418 2787 3614 4030 4170 4309 4645 5421 5574 6045 8618 9035 9290 10842 12077 12090 12927 13935 18070 21545 24154 25854 27105 27870 28799 36231 43090 54210 56017 57598 60385 64635 72462 86397 112034 120770 129131 129270 143995 168051 172794 181155 258262 280085 287990 336102 362310 374387 387393 431985 560170 645655 748774 774786 840255 863970 1123161 1291310 1678703 1680510 1871935 1936965 2246322 3357406 3743870 3873930 4003061 5036109 5615805 8006122 8393515 10072218 11231610 12009183 16787030 20015305 24018366 25180545 40030610 50361090 52039793 60045915 104079586 120091830 156119379 260198965 312238758 520397930 780596895 1561193790