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1358001000 = 233253150889
BaseRepresentation
bin101000011110001…
…0111001101101000
310111122022121011100
41100330113031220
510240122013000
6342430401400
745436550406
oct12074271550
93448277140
101358001000
11637613284
1231a960260
131884650b5
14cc4dc476
157e34aa00
hex50f17368

1358001000 has 96 divisors (see below), whose sum is σ = 4590073800. Its totient is φ = 362131200.

The previous prime is 1358000999. The next prime is 1358001059. The reversal of 1358001000 is 1008531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 230250276 + 1127750724 = 15174^2 + 33582^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66445 + ... + 84444.

Almost surely, 21358001000 is an apocalyptic number.

1358001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1358001000 is an abundant number, since it is smaller than the sum of its proper divisors (3232072800).

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

1358001000 is a wasteful number, since it uses less digits than its factorization.

1358001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150916 (or 150899 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1358001000 is about 36851.0651135079. The cubic root of 1358001000 is about 1107.3885529735.

Adding to 1358001000 its reverse (1008531), we get a palindrome (1359009531).

The spelling of 1358001000 in words is "one billion, three hundred fifty-eight million, one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 150889 301778 452667 603556 754445 905334 1207112 1358001 1508890 1810668 2263335 2716002 3017780 3621336 3772225 4526670 5432004 6035560 6790005 7544450 9053340 10864008 11316675 13580010 15088900 18106680 18861125 22633350 27160020 30177800 33950025 37722250 45266700 54320040 56583375 67900050 75444500 90533400 113166750 135800100 150889000 169750125 226333500 271600200 339500250 452667000 679000500 1358001000