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1307046645 = 335233137367
BaseRepresentation
bin100110111100111…
…1111001011110101
310101002102211221000
41031321333023311
510134100443040
6333410313513
744250466422
oct11571771365
93332384830
101307046645
11610880543
12305888899
1317aa344a8
14c5836d49
1579b33130
hex4de7f2f5

1307046645 has 128 divisors (see below), whose sum is σ = 2577530880. Its totient is φ = 626123520.

The previous prime is 1307046589. The next prime is 1307046661. The reversal of 1307046645 is 5466407031.

It is a happy number.

1307046645 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 0 + 4 + 6 + 645 = 666.

It is not a de Polignac number, because 1307046645 - 29 = 1307046133 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3561252 + ... + 3561618.

It is an arithmetic number, because the mean of its divisors is an integer number (20136960).

Almost surely, 21307046645 is an apocalyptic number.

1307046645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307046645 is a deficient number, since it is larger than the sum of its proper divisors (1270484235).

1307046645 is a wasteful number, since it uses less digits than its factorization.

1307046645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1307046645 is about 36153.1000745441. The cubic root of 1307046645 is about 1093.3612943866.

The spelling of 1307046645 in words is "one billion, three hundred seven million, forty-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 23 27 31 37 45 69 93 111 115 135 155 185 207 279 333 345 367 465 555 621 713 837 851 999 1035 1101 1147 1395 1665 1835 2139 2553 3105 3303 3441 3565 4185 4255 4995 5505 5735 6417 7659 8441 9909 10323 10695 11377 12765 13579 16515 17205 19251 22977 25323 26381 30969 32085 34131 38295 40737 42205 49545 51615 56885 67895 75969 79143 96255 102393 114885 122211 126615 131905 154845 170655 203685 227907 237429 261671 307179 312317 366633 379845 395715 420949 511965 611055 712287 785013 936951 1139535 1187145 1262847 1308355 1535895 1561585 1833165 2104745 2355039 2810853 3561435 3788541 3925065 4684755 6314235 7065117 8432559 9681827 11365623 11775195 14054265 18942705 29045481 35325585 42162795 48409135 56828115 87136443 145227405 261409329 435682215 1307046645