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1358125000 = 23574153
BaseRepresentation
bin101000011110011…
…0101011111001000
310111122112220020221
41100330311133020
510240140000000
6342433155424
745440605051
oct12074653710
93448486227
101358125000
11637698461
1231a9bbb74
131884a967b
14cc531728
157e37261a
hex50f357c8

1358125000 has 128 divisors (see below), whose sum is σ = 3322257120. Its totient is φ = 520000000.

The previous prime is 1358124979. The next prime is 1358125009. The reversal of 1358125000 is 5218531.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1260392004 + 97732996 = 35502^2 + 9886^2 .

It is a sliding number, since 1358125000 = 78125000 + 1280000000 and 1/78125000 + 1/1280000000 = 0.00000001358125000.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1358125009) 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, 25624974 + ... + 25625026.

Almost surely, 21358125000 is an apocalyptic number.

1358125000 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 1358125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661128560).

1358125000 is an abundant number, since it is smaller than the sum of its proper divisors (1964132120).

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

1358125000 is an frugal number, since it uses more digits than its factorization.

1358125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1358125000 is about 36852.7475230816. The cubic root of 1358125000 is about 1107.4222574164.

The spelling of 1358125000 in words is "one billion, three hundred fifty-eight million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 53 82 100 106 125 164 200 205 212 250 265 328 410 424 500 530 625 820 1000 1025 1060 1250 1325 1640 2050 2120 2173 2500 2650 3125 4100 4346 5000 5125 5300 6250 6625 8200 8692 10250 10600 10865 12500 13250 15625 17384 20500 21730 25000 25625 26500 31250 33125 41000 43460 51250 53000 54325 62500 66250 78125 86920 102500 108650 125000 128125 132500 156250 165625 205000 217300 256250 265000 271625 312500 331250 434600 512500 543250 625000 640625 662500 828125 1025000 1086500 1281250 1325000 1358125 1656250 2173000 2562500 2716250 3203125 3312500 4140625 5125000 5432500 6406250 6625000 6790625 8281250 10865000 12812500 13581250 16562500 25625000 27162500 33125000 33953125 54325000 67906250 135812500 169765625 271625000 339531250 679062500 1358125000