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1405360896 = 28317107641
BaseRepresentation
bin101001111000100…
…0001101100000000
310121221102201201120
41103301001230000
510334233022041
6351241432240
746553241042
oct12361015400
93557381646
101405360896
11661320495
1233279b680
131952078c4
14d4909a92
15835a3366
hex53c41b00

1405360896 has 72 divisors (see below), whose sum is σ = 3960364464. Its totient is φ = 440893440.

The previous prime is 1405360889. The next prime is 1405360903. The reversal of 1405360896 is 6980635041.

It is an interprime number because it is at equal distance from previous prime (1405360889) and next prime (1405360903).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40765 + ... + 66876.

It is an arithmetic number, because the mean of its divisors is an integer number (55005062).

Almost surely, 21405360896 is an apocalyptic number.

1405360896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1405360896 is an abundant number, since it is smaller than the sum of its proper divisors (2555003568).

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

1405360896 is a wasteful number, since it uses less digits than its factorization.

1405360896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107677 (or 107663 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1405360896 is about 37488.1434056156. The cubic root of 1405360896 is about 1120.1150222006.

The spelling of 1405360896 in words is "one billion, four hundred five million, three hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 107641 215282 322923 430564 645846 861128 1291692 1722256 1829897 2583384 3444512 3659794 5166768 5489691 6889024 7319588 10333536 10979382 13778048 14639176 20667072 21958764 27556096 29278352 41334144 43917528 58556704 82668288 87835056 117113408 175670112 234226816 351340224 468453632 702680448 1405360896