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130780000 = 255413503
BaseRepresentation
bin1111100101110…
…00101101100000
3100010002022102201
413302320231200
5231434430000
620551022544
73145416541
oct762705540
9303068381
10130780000
1167904a4a
123796aa54
132112c820
14135244c8
15b73496a
hex7cb8b60

130780000 has 120 divisors (see below), whose sum is σ = 347176368. Its totient is φ = 48192000.

The previous prime is 130779989. The next prime is 130780003. The reversal of 130780000 is 87031.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 130780000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130780003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259749 + ... + 260251.

Almost surely, 2130780000 is an apocalyptic number.

130780000 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 130780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173588184).

130780000 is an abundant number, since it is smaller than the sum of its proper divisors (216396368).

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

130780000 is an equidigital number, since it uses as much as digits as its factorization.

130780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 130780000 is about 11435.9083591991. The cubic root of 130780000 is about 507.5908417226.

The spelling of 130780000 in words is "one hundred thirty million, seven hundred eighty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 503 520 625 650 800 1000 1006 1040 1250 1300 1625 2000 2012 2080 2500 2515 2600 3250 4000 4024 5000 5030 5200 6500 6539 8048 8125 10000 10060 10400 12575 13000 13078 16096 16250 20000 20120 25150 26000 26156 32500 32695 40240 50300 52000 52312 62875 65000 65390 80480 100600 104624 125750 130000 130780 163475 201200 209248 251500 260000 261560 314375 326950 402400 503000 523120 628750 653900 817375 1006000 1046240 1257500 1307800 1634750 2012000 2515000 2615600 3269500 4086875 5030000 5231200 6539000 8173750 10060000 13078000 16347500 26156000 32695000 65390000 130780000