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1355421300 = 2235215129921
BaseRepresentation
bin101000011001010…
…0001011001110100
310111110110112110220
41100302201121310
510233441440200
6342255214340
745405614412
oct12062413164
93443415426
101355421300
116361110a2
12319b173b0
13187a70b4c
14cc02a2b2
157dedb4a0
hex50ca1674

1355421300 has 72 divisors (see below), whose sum is σ = 3947788992. Its totient is φ = 359040000.

The previous prime is 1355421293. The next prime is 1355421367. The reversal of 1355421300 is 31245531.

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, 30340 + ... + 60260.

Almost surely, 21355421300 is an apocalyptic number.

1355421300 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 1355421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973894496).

1355421300 is an abundant number, since it is smaller than the sum of its proper divisors (2592367692).

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

1355421300 is a wasteful number, since it uses less digits than its factorization.

1355421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30089 (or 30082 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1355421300 is about 36816.0467731124. The cubic root of 1355421300 is about 1106.6868988334.

Adding to 1355421300 its reverse (31245531), we get a palindrome (1386666831).

The spelling of 1355421300 in words is "one billion, three hundred fifty-five million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 604 755 906 1510 1812 2265 3020 3775 4530 7550 9060 11325 15100 22650 29921 45300 59842 89763 119684 149605 179526 299210 359052 448815 598420 748025 897630 1496050 1795260 2244075 2992100 4488150 4518071 8976300 9036142 13554213 18072284 22590355 27108426 45180710 54216852 67771065 90361420 112951775 135542130 225903550 271084260 338855325 451807100 677710650 1355421300