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130378000 = 2453194773
BaseRepresentation
bin1111100010101…
…10100100010000
3100002022212222211
413301112210100
5231334044000
620534241504
73142123534
oct761264420
9302285884
10130378000
116765aa15
12377b6294
132101b85c
141345bbc4
15b6a57ba
hex7c56910

130378000 has 160 divisors (see below), whose sum is σ = 343549440. Its totient is φ = 47692800.

The previous prime is 130377967. The next prime is 130378009. The reversal of 130378000 is 873031.

It is not an unprimeable number, because it can be changed into a prime (130378009) 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, 1785964 + ... + 1786036.

It is an arithmetic number, because the mean of its divisors is an integer number (2147184).

Almost surely, 2130378000 is an apocalyptic number.

130378000 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 130378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171774720).

130378000 is an abundant number, since it is smaller than the sum of its proper divisors (213171440).

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

130378000 is a wasteful number, since it uses less digits than its factorization.

130378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 130378000 is about 11418.3186152778. The cubic root of 130378000 is about 507.0702194263.

The spelling of 130378000 in words is "one hundred thirty million, three hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 47 50 73 76 80 94 95 100 125 146 152 188 190 200 235 250 292 304 365 376 380 400 470 475 500 584 730 752 760 893 940 950 1000 1168 1175 1387 1460 1520 1786 1825 1880 1900 2000 2350 2375 2774 2920 3431 3572 3650 3760 3800 4465 4700 4750 5548 5840 5875 6862 6935 7144 7300 7600 8930 9125 9400 9500 11096 11750 13724 13870 14288 14600 17155 17860 18250 18800 19000 22192 22325 23500 27448 27740 29200 34310 34675 35720 36500 38000 44650 47000 54896 55480 65189 68620 69350 71440 73000 85775 89300 94000 110960 111625 130378 137240 138700 146000 171550 173375 178600 223250 260756 274480 277400 325945 343100 346750 357200 428875 446500 521512 554800 651890 686200 693500 857750 893000 1043024 1303780 1372400 1387000 1629725 1715500 1786000 2607560 2774000 3259450 3431000 5215120 6518900 6862000 8148625 13037800 16297250 26075600 32594500 65189000 130378000