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1358117000 = 23532834799
BaseRepresentation
bin101000011110011…
…0011100010001000
310111122112111021122
41100330303202020
510240134221000
6342433054412
745440542532
oct12074634210
93448474248
101358117000
11637692449
1231a9b7408
131884a5b36
14cc52c852
157e370085
hex50f33888

1358117000 has 64 divisors (see below), whose sum is σ = 3189888000. Its totient is φ = 541214400.

The previous prime is 1358116919. The next prime is 1358117051. The reversal of 1358117000 is 7118531.

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 15 ways as a sum of consecutive naturals, for example, 280601 + ... + 285399.

It is an arithmetic number, because the mean of its divisors is an integer number (49842000).

Almost surely, 21358117000 is an apocalyptic number.

1358117000 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 1358117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594944000).

1358117000 is an abundant number, since it is smaller than the sum of its proper divisors (1831771000).

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

1358117000 is a wasteful number, since it uses less digits than its factorization.

1358117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 1358117000 is about 36852.6389828463. The cubic root of 1358117000 is about 1107.4200829981.

The spelling of 1358117000 in words is "one billion, three hundred fifty-eight million, one hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 283 500 566 1000 1132 1415 2264 2830 4799 5660 7075 9598 11320 14150 19196 23995 28300 35375 38392 47990 56600 70750 95980 119975 141500 191960 239950 283000 479900 599875 959800 1199750 1358117 2399500 2716234 4799000 5432468 6790585 10864936 13581170 27162340 33952925 54324680 67905850 135811700 169764625 271623400 339529250 679058500 1358117000