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1355420440 = 235113199371
BaseRepresentation
bin101000011001010…
…0001001100011000
310111110110111022001
41100302201030120
510233441423230
6342255210344
745405612043
oct12062411430
93443414261
101355420440
11636110490
12319b169b4
13187a7063a
14cc029c5a
157dedb0ca
hex50ca1318

1355420440 has 64 divisors (see below), whose sum is σ = 3434296320. Its totient is φ = 476976000.

The previous prime is 1355420431. The next prime is 1355420477. The reversal of 1355420440 is 440245531.

It is a junction number, because it is equal to n+sod(n) for n = 1355420399 and 1355420408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 36046 + ... + 63325.

It is an arithmetic number, because the mean of its divisors is an integer number (53660880).

Almost surely, 21355420440 is an apocalyptic number.

1355420440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355420440 is an abundant number, since it is smaller than the sum of its proper divisors (2078875880).

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

1355420440 is a wasteful number, since it uses less digits than its factorization.

1355420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99424 (or 99420 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 1355420440 is about 36816.0350934209. The cubic root of 1355420440 is about 1106.6866647731.

Adding to 1355420440 its reverse (440245531), we get a palindrome (1795665971).

The spelling of 1355420440 in words is "one billion, three hundred fifty-five million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 99371 198742 397484 496855 794968 993710 1093081 1987420 2186162 3080501 3974840 4372324 5465405 6161002 8744648 10930810 12322004 15402505 21861620 24644008 30805010 33885511 43723240 61610020 67771022 123220040 135542044 169427555 271084088 338855110 677710220 1355420440