Search a number
-
+
1320826605630 = 235719536245929
BaseRepresentation
bin10011001110000111011…
…001101001000000111110
311200021021200021122020020
4103032013121221000332
5133120023102340010
62450440202033010
7164266212622260
oct23160731510076
94607250248206
101320826605630
1146a183204264
12193b9a1a8766
1397726b0bc1c
1447cdd563b30
1524557521470
hex1338766903e

1320826605630 has 128 divisors (see below), whose sum is σ = 3885468134400. Its totient is φ = 280617053184.

The previous prime is 1320826605613. The next prime is 1320826605661. The reversal of 1320826605630 is 365066280231.

It is a super-3 number, since 3×13208266056303 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2911495 + ... + 3334434.

It is an arithmetic number, because the mean of its divisors is an integer number (30355219800).

Almost surely, 21320826605630 is an apocalyptic number.

1320826605630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1320826605630 is an abundant number, since it is smaller than the sum of its proper divisors (2564641528770).

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

1320826605630 is a wasteful number, since it uses less digits than its factorization.

1320826605630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246018.

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 1320826605630 in words is "one trillion, three hundred twenty billion, eight hundred twenty-six million, six hundred five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 53 57 70 95 105 106 114 133 159 190 210 265 266 285 318 371 399 530 570 665 742 795 798 1007 1113 1330 1590 1855 1995 2014 2226 3021 3710 3990 5035 5565 6042 7049 10070 11130 14098 15105 21147 30210 35245 42294 70490 105735 211470 6245929 12491858 18737787 31229645 37475574 43721503 62459290 87443006 93688935 118672651 131164509 187377870 218607515 237345302 262329018 331034237 356017953 437215030 593363255 655822545 662068474 712035906 830708557 993102711 1186726510 1311645090 1655171185 1661417114 1780089765 1986205422 2317239659 2492125671 3310342370 3560179530 4153542785 4634479318 4965513555 4984251342 6289650503 6951718977 8307085570 9931027110 11586198295 12460628355 12579301006 13903437954 18868951509 23172396590 24921256710 31448252515 34758594885 37737903018 44027553521 62896505030 69517189770 88055107042 94344757545 132082660563 188689515090 220137767605 264165321126 440275535210 660413302815 1320826605630