Search a number
-
+
130665920 = 2657115303
BaseRepresentation
bin1111100100111…
…00110111000000
3100002212111221112
413302130313000
5231422302140
620544342452
73144433130
oct762346700
9302774845
10130665920
1167837270
1237914a28
13210bc918
14134d4ac0
15b710c65
hex7c9cdc0

130665920 has 112 divisors (see below), whose sum is σ = 387998208. Its totient is φ = 40719360.

The previous prime is 130665917. The next prime is 130665923. The reversal of 130665920 is 29566031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130665917) and next prime (130665923).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130665923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21989 + ... + 27291.

Almost surely, 2130665920 is an apocalyptic number.

130665920 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 130665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193999104).

130665920 is an abundant number, since it is smaller than the sum of its proper divisors (257332288).

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

130665920 is a wasteful number, since it uses less digits than its factorization.

130665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 130665920 is about 11430.9194730783. The cubic root of 130665920 is about 507.4432075058.

The spelling of 130665920 in words is "one hundred thirty million, six hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 5303 6160 10606 12320 21212 24640 26515 37121 42424 53030 58333 74242 84848 106060 116666 148484 169696 185605 212120 233332 291665 296968 339392 371210 408331 424240 466664 583330 593936 742420 816662 848480 933328 1166660 1187872 1484840 1633324 1696960 1866656 2041655 2333320 2375744 2969680 3266648 3733312 4083310 4666640 5939360 6533296 8166620 9333280 11878720 13066592 16333240 18666560 26133184 32666480 65332960 130665920