Search a number
-
+
130644900 = 2234521272
BaseRepresentation
bin1111100100101…
…11101110100100
3100002211110010000
413302113232210
5231421114100
620544101300
73144314631
oct762275644
9302743100
10130644900
11678224a1
1237904830
13210b3199
14134cb188
15b709900
hex7c97ba4

130644900 has 135 divisors (see below), whose sum is σ = 426860049. Its totient is φ = 34564320.

The previous prime is 130644889. The next prime is 130644911. The reversal of 130644900 is 9446031.

The square root of 130644900 is 11430.

It is a perfect power (a square), and thus also a powerful number.

130644900 is a `hidden beast` number, since 13 + 0 + 644 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130644889) and next prime (130644911).

It can be written as a sum of positive squares in only one way, i.e., 47032164 + 83612736 = 6858^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1028637 + ... + 1028763.

Almost surely, 2130644900 is an apocalyptic number.

130644900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130644900 is the 11430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130644900

130644900 is an abundant number, since it is smaller than the sum of its proper divisors (296215149).

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

130644900 is a wasteful number, since it uses less digits than its factorization.

130644900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 130644900 is about 507.4159955436.

The spelling of 130644900 in words is "one hundred thirty million, six hundred forty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 127 135 150 162 180 225 254 270 300 324 381 405 450 508 540 635 675 762 810 900 1143 1270 1350 1524 1620 1905 2025 2286 2540 2700 3175 3429 3810 4050 4572 5715 6350 6858 7620 8100 9525 10287 11430 12700 13716 16129 17145 19050 20574 22860 28575 32258 34290 38100 41148 48387 51435 57150 64516 68580 80645 85725 96774 102870 114300 145161 161290 171450 193548 205740 241935 257175 290322 322580 342900 403225 435483 483870 514350 580644 725805 806450 870966 967740 1028700 1209675 1306449 1451610 1612900 1741932 2177415 2419350 2612898 2903220 3629025 4354830 4838700 5225796 6532245 7258050 8709660 10887075 13064490 14516100 21774150 26128980 32661225 43548300 65322450 130644900