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405320813240 = 23572266963857
BaseRepresentation
bin1011110010111110000…
…00001100101010111000
31102202012111121200120212
411321133000030222320
523120044112010430
6510111331410252
741166141032030
oct5713700145270
91382174550525
10405320813240
1114699403a112
1266679153988
132c2b5aa4345
1415890ad48c0
15a823ac0b95
hex5e5f00cab8

405320813240 has 64 divisors (see below), whose sum is σ = 1042315819200. Its totient is φ = 138958829568.

The previous prime is 405320813231. The next prime is 405320813299. The reversal of 405320813240 is 42318023504.

It is a junction number, because it is equal to n+sod(n) for n = 405320813197 and 405320813206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6315392 + ... + 6379248.

It is an arithmetic number, because the mean of its divisors is an integer number (16286184675).

Almost surely, 2405320813240 is an apocalyptic number.

405320813240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405320813240 is an abundant number, since it is smaller than the sum of its proper divisors (636995005960).

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

405320813240 is a wasteful number, since it uses less digits than its factorization.

405320813240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86544 (or 86540 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 405320813240 its reverse (42318023504), we get a palindrome (447638836744).

The spelling of 405320813240 in words is "four hundred five billion, three hundred twenty million, eight hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 22669 45338 63857 90676 113345 127714 158683 181352 226690 255428 317366 319285 446999 453380 510856 634732 638570 793415 893998 906760 1269464 1277140 1586830 1787996 2234995 2554280 3173660 3575992 4469990 6347320 8939980 17879960 1447574333 2895148666 5790297332 7237871665 10133020331 11580594664 14475743330 20266040662 28951486660 40532081324 50665101655 57902973320 81064162648 101330203310 202660406620 405320813240