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1355450040 = 233257537877
BaseRepresentation
bin101000011001010…
…1000011010111000
310111110111222220100
41100302220122320
510233443400130
6342255555400
745406064250
oct12062503270
93443458810
101355450040
1163613074a
12319b2bb60
13187a80c59
14cc036960
157dee4c60
hex50ca86b8

1355450040 has 96 divisors (see below), whose sum is σ = 5034538080. Its totient is φ = 309816576.

The previous prime is 1355450023. The next prime is 1355450051. The reversal of 1355450040 is 400545531.

It is a junction number, because it is equal to n+sod(n) for n = 1355449986 and 1355450013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266419 + ... + 271458.

It is an arithmetic number, because the mean of its divisors is an integer number (52443105).

Almost surely, 21355450040 is an apocalyptic number.

1355450040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355450040 is an abundant number, since it is smaller than the sum of its proper divisors (3679088040).

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

1355450040 is a wasteful number, since it uses less digits than its factorization.

1355450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537901 (or 537894 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1355450040 is about 36816.4370899738. The cubic root of 1355450040 is about 1106.6947207449.

Adding to 1355450040 its reverse (400545531), we get a palindrome (1755995571).

The spelling of 1355450040 in words is "one billion, three hundred fifty-five million, four hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 537877 1075754 1613631 2151508 2689385 3227262 3765139 4303016 4840893 5378770 6454524 7530278 8068155 9681786 10757540 11295417 12909048 15060556 16136310 18825695 19363572 21515080 22590834 24204465 30121112 32272620 33886251 37651390 38727144 45181668 48408930 56477085 64545240 67772502 75302780 90363336 96817860 112954170 135545004 150605560 169431255 193635720 225908340 271090008 338862510 451816680 677725020 1355450040