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1355562420 = 2235315931229
BaseRepresentation
bin101000011001100…
…0011110110110100
310111110201201001120
41100303003312310
510234010444140
6342302223540
745410043012
oct12063036664
93443651046
101355562420
116361a8123
12319b84bb0
13187ac0154
14cc0658b2
157e0181d0
hex50cc3db4

1355562420 has 96 divisors (see below), whose sum is σ = 3927813120. Its totient is φ = 348948480.

The previous prime is 1355562419. The next prime is 1355562421. The reversal of 1355562420 is 242655531.

It is an interprime number because it is at equal distance from previous prime (1355562419) and next prime (1355562421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355562421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102366 + ... + 1103594.

It is an arithmetic number, because the mean of its divisors is an integer number (40914720).

Almost surely, 21355562420 is an apocalyptic number.

1355562420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355562420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963906560).

1355562420 is an abundant number, since it is smaller than the sum of its proper divisors (2572250700).

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

1355562420 is a wasteful number, since it uses less digits than its factorization.

1355562420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 1355562420 is about 36817.9632788127. The cubic root of 1355562420 is about 1106.7253051540.

The spelling of 1355562420 in words is "one billion, three hundred fifty-five million, five hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 593 620 930 1186 1229 1779 1860 2372 2458 2965 3558 3687 4916 5930 6145 7116 7374 8895 11860 12290 14748 17790 18383 18435 24580 35580 36766 36870 38099 55149 73532 73740 76198 91915 110298 114297 152396 183830 190495 220596 228594 275745 367660 380990 457188 551490 571485 728797 761980 1102980 1142970 1457594 2186391 2285940 2915188 3643985 4372782 7287970 8745564 10931955 14575940 21863910 22592707 43727820 45185414 67778121 90370828 112963535 135556242 225927070 271112484 338890605 451854140 677781210 1355562420