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130490780 = 225731107281
BaseRepresentation
bin1111100011100…
…10000110011100
3100002112121200212
413301302012130
5231401201110
620540511552
73143103410
oct761620634
9302477625
10130490780
1167727722
123784b5b8
132105aca4
141348ad40
15b6c8e05
hex7c7219c

130490780 has 96 divisors (see below), whose sum is σ = 327462912. Its totient is φ = 42739200.

The previous prime is 130490777. The next prime is 130490783. The reversal of 130490780 is 87094031.

130490780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130490777) and next prime (130490783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130490783) 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, 464240 + ... + 464520.

It is an arithmetic number, because the mean of its divisors is an integer number (3411072).

Almost surely, 2130490780 is an apocalyptic number.

130490780 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 130490780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163731456).

130490780 is an abundant number, since it is smaller than the sum of its proper divisors (196972132).

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

130490780 is a wasteful number, since it uses less digits than its factorization.

130490780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 130490780 is about 11423.2561032308. The cubic root of 130490780 is about 507.2163864632.

The spelling of 130490780 in words is "one hundred thirty million, four hundred ninety thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 107 124 140 155 214 217 281 310 428 434 535 562 620 749 868 1070 1085 1124 1405 1498 1967 2140 2170 2810 2996 3317 3745 3934 4340 5620 6634 7490 7868 8711 9835 13268 14980 16585 17422 19670 23219 30067 33170 34844 39340 43555 46438 60134 60977 66340 87110 92876 116095 120268 121954 150335 174220 210469 232190 243908 300670 304885 420938 464380 601340 609770 841876 932077 1052345 1219540 1864154 2104690 3728308 4209380 4660385 6524539 9320770 13049078 18641540 26098156 32622695 65245390 130490780