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1468754406 = 232717977069
BaseRepresentation
bin101011110001011…
…0110100111100110
310210100201110021100
41113202312213212
511002000120111
6401424300530
751253130550
oct12742664746
93710643240
101468754406
11694089a19
1234ba71746
131a53a2362
14dd0cc4d0
1588e26756
hex578b69e6

1468754406 has 96 divisors (see below), whose sum is σ = 3891101760. Its totient is φ = 390832128.

The previous prime is 1468754381. The next prime is 1468754429. The reversal of 1468754406 is 6044578641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204240 + ... + 211308.

It is an arithmetic number, because the mean of its divisors is an integer number (40532310).

Almost surely, 21468754406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468754406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945550880).

1468754406 is an abundant number, since it is smaller than the sum of its proper divisors (2422347354).

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

1468754406 is a wasteful number, since it uses less digits than its factorization.

1468754406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198 (or 7195 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1468754406 is about 38324.3317749964. The cubic root of 1468754406 is about 1136.7101225874.

The spelling of 1468754406 in words is "one billion, four hundred sixty-eight million, seven hundred fifty-four thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 97 102 119 126 153 194 238 291 306 357 582 679 714 873 1071 1358 1649 1746 2037 2142 3298 4074 4947 6111 7069 9894 11543 12222 14138 14841 21207 23086 29682 34629 42414 49483 63621 69258 98966 103887 120173 127242 148449 207774 240346 296898 360519 445347 685693 721038 841211 890694 1081557 1371386 1682422 2057079 2163114 2523633 4114158 4799851 5047266 6171237 7570899 9599702 11656781 12342474 14399553 15141798 23313562 28799106 34970343 43198659 69940686 81597467 86397318 104911029 163194934 209822058 244792401 489584802 734377203 1468754406