Search a number
-
+
1306874030 = 2571123109677
BaseRepresentation
bin100110111100101…
…0101000010101110
310101002010002010212
41031321111002232
510134024432110
6333402502422
744246150240
oct11571250256
93332102125
101306874030
11610772890
12305804a12
1317a9a3a57
14c57d0090
1579aebe05
hex4de550ae

1306874030 has 128 divisors (see below), whose sum is σ = 3092981760. Its totient is φ = 385482240.

The previous prime is 1306874029. The next prime is 1306874033. The reversal of 1306874030 is 304786031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306874033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1930052 + ... + 1930728.

It is an arithmetic number, because the mean of its divisors is an integer number (24163920).

Almost surely, 21306874030 is an apocalyptic number.

1306874030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1306874030 is an abundant number, since it is smaller than the sum of its proper divisors (1786107730).

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

1306874030 is a wasteful number, since it uses less digits than its factorization.

1306874030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1306874030 is about 36150.7127177321. The cubic root of 1306874030 is about 1093.3131607133.

The spelling of 1306874030 in words is "one billion, three hundred six million, eight hundred seventy-four thousand, thirty".

Divisors: 1 2 5 7 10 11 14 22 23 35 46 55 70 77 109 110 115 154 161 218 230 253 322 385 506 545 677 763 770 805 1090 1199 1265 1354 1526 1610 1771 2398 2507 2530 3385 3542 3815 4739 5014 5995 6770 7447 7630 8393 8855 9478 11990 12535 14894 15571 16786 17549 17710 23695 25070 27577 31142 35098 37235 41965 47390 52129 55154 73793 74470 77855 83930 87745 104258 108997 137885 147586 155710 171281 175490 193039 217994 260645 275770 342562 368965 386078 516551 521290 544985 737930 811723 856405 965195 1033102 1089970 1198967 1623446 1697239 1712810 1930390 2397934 2582755 3394478 4058615 5165510 5682061 5994835 8117230 8486195 11364122 11880673 11989670 16972390 18669629 23761346 28410305 37339258 56820610 59403365 93348145 118806730 130687403 186696290 261374806 653437015 1306874030