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130637920 = 2557219877
BaseRepresentation
bin1111100100101…
…10000001100000
3100002211002112111
413302112001200
5231420403140
620544005104
73144255400
oct762260140
9302732474
10130637920
1167818226
1237900794
13210acc5a
14134c8800
15b7077ea
hex7c96060

130637920 has 144 divisors (see below), whose sum is σ = 378347760. Its totient is φ = 42384384.

The previous prime is 130637891. The next prime is 130637929. The reversal of 130637920 is 29736031.

It is a super-2 number, since 2×1306379202 = 34132532283852800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130637929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148522 + ... + 149398.

It is an arithmetic number, because the mean of its divisors is an integer number (2627415).

Almost surely, 2130637920 is an apocalyptic number.

130637920 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 130637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189173880).

130637920 is an abundant number, since it is smaller than the sum of its proper divisors (247709840).

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

130637920 is a wasteful number, since it uses less digits than its factorization.

130637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 130637920 is about 11429.6946590887. The cubic root of 130637920 is about 507.4069587660.

The spelling of 130637920 in words is "one hundred thirty million, six hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 70 76 80 95 98 112 133 140 152 160 190 196 224 245 266 280 304 380 392 490 532 560 608 665 760 784 877 931 980 1064 1120 1330 1520 1568 1754 1862 1960 2128 2660 3040 3508 3724 3920 4256 4385 4655 5320 6139 7016 7448 7840 8770 9310 10640 12278 14032 14896 16663 17540 18620 21280 24556 28064 29792 30695 33326 35080 37240 42973 49112 61390 66652 70160 74480 83315 85946 98224 116641 122780 133304 140320 148960 166630 171892 196448 214865 233282 245560 266608 333260 343784 429730 466564 491120 533216 583205 666520 687568 816487 859460 933128 982240 1166410 1333040 1375136 1632974 1718920 1866256 2332820 2666080 3265948 3437840 3732512 4082435 4665640 6531896 6875680 8164870 9331280 13063792 16329740 18662560 26127584 32659480 65318960 130637920