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130903000 = 2353791657
BaseRepresentation
bin1111100110101…
…10101111011000
3100010022120011021
413303112233120
5232002344000
620553412224
73146441254
oct763265730
9303276137
10130903000
11679893a8
1237a0a074
13211737c7
1413557264
15b75b11a
hex7cd6bd8

130903000 has 64 divisors (see below), whose sum is σ = 310377600. Its totient is φ = 51667200.

The previous prime is 130902979. The next prime is 130903061. The reversal of 130903000 is 309031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78172 + ... + 79828.

It is an arithmetic number, because the mean of its divisors is an integer number (4849650).

Almost surely, 2130903000 is an apocalyptic number.

130903000 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 130903000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155188800).

130903000 is an abundant number, since it is smaller than the sum of its proper divisors (179474600).

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

130903000 is a wasteful number, since it uses less digits than its factorization.

130903000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 130903000 is about 11441.2848928781. The cubic root of 130903000 is about 507.7499234134.

The spelling of 130903000 in words is "one hundred thirty million, nine hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1657 1975 3160 3314 3950 6628 7900 8285 9875 13256 15800 16570 19750 33140 39500 41425 66280 79000 82850 130903 165700 207125 261806 331400 414250 523612 654515 828500 1047224 1309030 1657000 2618060 3272575 5236120 6545150 13090300 16362875 26180600 32725750 65451500 130903000