Search a number
-
+
1398830445 = 3351923131181
BaseRepresentation
bin101001101100000…
…0111010101101101
310121111010221122000
41103120013111231
510331100033240
6350445442513
746443601605
oct12330072555
93544127560
101398830445
11658670021
12330570439
13193a5c32c
14d3ac9c05
1582c13430
hex5360756d

1398830445 has 128 divisors (see below), whose sum is σ = 2767564800. Its totient is φ = 667180800.

The previous prime is 1398830443. The next prime is 1398830471. The reversal of 1398830445 is 5440388931.

1398830445 = 123 + 133 + ... + 2733.

It is not a de Polignac number, because 1398830445 - 21 = 1398830443 is a prime.

It is a super-2 number, since 2×13988304452 = 3913453227717796050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1398830445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398830441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7728255 + ... + 7728435.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 21398830445 is an apocalyptic number.

1398830445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1398830445 is a deficient number, since it is larger than the sum of its proper divisors (1368734355).

1398830445 is a wasteful number, since it uses less digits than its factorization.

1398830445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1398830445 is about 37400.9417662176. The cubic root of 1398830445 is about 1118.3773390456.

The spelling of 1398830445 in words is "one billion, three hundred ninety-eight million, eight hundred thirty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 19 23 27 45 57 69 95 115 131 135 171 181 207 285 345 393 437 513 543 621 655 855 905 1035 1179 1311 1629 1965 2185 2489 2565 2715 3013 3105 3439 3537 3933 4163 4887 5895 6555 7467 8145 9039 10317 11799 12445 12489 15065 17195 17685 19665 20815 22401 23711 24435 27117 30951 37335 37467 45195 51585 57247 58995 62445 67203 71133 79097 81351 92853 112005 112401 118555 135585 154755 171741 187335 213399 237291 286235 336015 355665 395485 406755 450509 464265 515223 545353 562005 640197 711873 858705 1066995 1186455 1351527 1545669 1636059 2135619 2252545 2576115 2726765 3200985 3559365 4054581 4908177 6757635 7728345 8180295 10361707 10678095 12163743 14724531 20272905 24540885 31085121 51808535 60818715 73622655 93255363 155425605 279766089 466276815 1398830445