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1368198000 = 243353131949
BaseRepresentation
bin101000110001101…
…0000101101110000
310112100111122211000
41101203100231300
510300224314000
6343433122000
745622330311
oct12143205560
93470448730
101368198000
11642348454
12322259300
1318a5c5520
14cd9d4608
15801b2000
hex518d0b70

1368198000 has 320 divisors, whose sum is σ = 5280912000. Its totient is φ = 336614400.

The previous prime is 1368197993. The next prime is 1368198001. The reversal of 1368198000 is 8918631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368198001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 701026 + ... + 702974.

It is an arithmetic number, because the mean of its divisors is an integer number (16502850).

Almost surely, 21368198000 is an apocalyptic number.

1368198000 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 1368198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640456000).

1368198000 is an abundant number, since it is smaller than the sum of its proper divisors (3912714000).

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

1368198000 is a wasteful number, since it uses less digits than its factorization.

1368198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1368198000 is about 36989.1605744169. The cubic root of 1368198000 is about 1110.1533754461.

The spelling of 1368198000 in words is "one billion, three hundred sixty-eight million, one hundred ninety-eight thousand".