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1157086470 = 2351731163449
BaseRepresentation
bin100010011110111…
…1011110100000110
32222122021002020110
41010331323310012
54332203231340
6310452213450
740450033641
oct10475736406
92878232213
101157086470
11544166211
1228360a286
1315594a767
14ad95ca58
156b8b0680
hex44f7bd06

1157086470 has 128 divisors (see below), whose sum is σ = 3060633600. Its totient is φ = 278691840.

The previous prime is 1157086433. The next prime is 1157086471. The reversal of 1157086470 is 746807511.

1157086470 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157086471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2576806 + ... + 2577254.

It is an arithmetic number, because the mean of its divisors is an integer number (23911200).

Almost surely, 21157086470 is an apocalyptic number.

1157086470 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 1157086470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530316800).

1157086470 is an abundant number, since it is smaller than the sum of its proper divisors (1903547130).

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

1157086470 is a wasteful number, since it uses less digits than its factorization.

1157086470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 1157086470 is about 34015.9737476380. The cubic root of 1157086470 is about 1049.8371538836.

The spelling of 1157086470 in words is "one billion, one hundred fifty-seven million, eighty-six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 163 170 186 255 310 326 449 465 489 510 527 815 898 930 978 1054 1347 1581 1630 2245 2445 2635 2694 2771 3162 4490 4890 5053 5270 5542 6735 7633 7905 8313 10106 13470 13855 13919 15159 15266 15810 16626 22899 25265 27710 27838 30318 38165 41565 41757 45798 50530 69595 73187 75795 76330 83130 83514 85901 114495 139190 146374 151590 171802 208785 219561 228990 236623 257703 365935 417570 429505 439122 473246 515406 709869 731870 859010 1097805 1183115 1244179 1288515 1419738 2195610 2268797 2366230 2488358 2577030 3549345 3732537 4537594 6220895 6806391 7098690 7465074 11343985 12441790 13612782 18662685 22687970 34031955 37325370 38569549 68063910 77139098 115708647 192847745 231417294 385695490 578543235 1157086470