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1355104240 = 24573178059
BaseRepresentation
bin101000011000101…
…0011111111110000
310111102212102112221
41100301103333300
510233401313430
6342244330424
745403124140
oct12061237760
93442772487
101355104240
11635a14966
123199a3a14
1318798c739
14cbd86920
157de7757a
hex50c53ff0

1355104240 has 80 divisors (see below), whose sum is σ = 3716904960. Its totient is φ = 449614080.

The previous prime is 1355104213. The next prime is 1355104253. The reversal of 1355104240 is 424015531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21670 + ... + 56389.

It is an arithmetic number, because the mean of its divisors is an integer number (46461312).

Almost surely, 21355104240 is an apocalyptic number.

1355104240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355104240 is an abundant number, since it is smaller than the sum of its proper divisors (2361800720).

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

1355104240 is a wasteful number, since it uses less digits than its factorization.

1355104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78110 (or 78104 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1355104240 is about 36811.7405184813. The cubic root of 1355104240 is about 1106.6006000785.

Adding to 1355104240 its reverse (424015531), we get a palindrome (1779119771).

The spelling of 1355104240 in words is "one billion, three hundred fifty-five million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 78059 156118 312236 390295 546413 624472 780590 1092826 1248944 1561180 2185652 2419829 2732065 3122360 4371304 4839658 5464130 6244720 8742608 9679316 10928260 12099145 16938803 19358632 21856520 24198290 33877606 38717264 43713040 48396580 67755212 84694015 96793160 135510424 169388030 193586320 271020848 338776060 677552120 1355104240