Search a number
-
+
130626560 = 210531823
BaseRepresentation
bin1111100100100…
…11010000000000
3100002210111221202
413302103100000
5231420022220
620543440332
73144210311
oct762232000
9302714852
10130626560
116780a739
12378b60a8
13210a7a2c
14134c4608
15b704275
hex7c93400

130626560 has 88 divisors (see below), whose sum is σ = 323851776. Its totient is φ = 50503680.

The previous prime is 130626553. The next prime is 130626571. The reversal of 130626560 is 65626031.

130626560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158309 + ... + 159131.

Almost surely, 2130626560 is an apocalyptic number.

130626560 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 130626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161925888).

130626560 is an abundant number, since it is smaller than the sum of its proper divisors (193225216).

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

130626560 is an equidigital number, since it uses as much as digits as its factorization.

130626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 130626560 is about 11429.1976971264. The cubic root of 130626560 is about 507.3922506574.

It can be divided in two parts, 130626 and 560, that multiplied together give a triangular number (73150560 = T12095).

The spelling of 130626560 in words is "one hundred thirty million, six hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 823 992 1024 1240 1280 1646 1984 2480 2560 3292 3968 4115 4960 5120 6584 7936 8230 9920 13168 15872 16460 19840 25513 26336 31744 32920 39680 51026 52672 65840 79360 102052 105344 127565 131680 158720 204104 210688 255130 263360 408208 421376 510260 526720 816416 842752 1020520 1053440 1632832 2041040 2106880 3265664 4082080 4213760 6531328 8164160 13062656 16328320 26125312 32656640 65313280 130626560