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130272360 = 233517193361
BaseRepresentation
bin1111100001111…
…00110001101000
3100002010112002020
413300330301220
5231322203420
620532104440
73141203541
oct760746150
9302115066
10130272360
1167598609
1237765120
1320cb274a
14134314c8
15b684340
hex7c3cc68

130272360 has 128 divisors (see below), whose sum is σ = 435715200. Its totient is φ = 30965760.

The previous prime is 130272347. The next prime is 130272367. The reversal of 130272360 is 63272031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130272360.

It is not an unprimeable number, because it can be changed into a prime (130272367) 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, 37080 + ... + 40440.

It is an arithmetic number, because the mean of its divisors is an integer number (3404025).

Almost surely, 2130272360 is an apocalyptic number.

130272360 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 130272360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217857600).

130272360 is an abundant number, since it is smaller than the sum of its proper divisors (305442840).

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

130272360 is a wasteful number, since it uses less digits than its factorization.

130272360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 130272360 is about 11413.6917778605. The cubic root of 130272360 is about 506.9332296167.

The spelling of 130272360 in words is "one hundred thirty million, two hundred seventy-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1020 1140 1292 1615 1938 2040 2280 2584 3230 3361 3876 4845 6460 6722 7752 9690 10083 12920 13444 16805 19380 20166 26888 33610 38760 40332 50415 57137 63859 67220 80664 100830 114274 127718 134440 171411 191577 201660 228548 255436 285685 319295 342822 383154 403320 457096 510872 571370 638590 685644 766308 857055 957885 1085603 1142740 1277180 1371288 1532616 1714110 1915770 2171206 2285480 2554360 3256809 3428220 3831540 4342412 5428015 6513618 6856440 7663080 8684824 10856030 13027236 16284045 21712060 26054472 32568090 43424120 65136180 130272360