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130445040 = 24351149411
BaseRepresentation
bin1111100011001…
…10111011110000
3100002110021221210
413301212323300
5231343220130
620535520120
73142523145
oct761467360
9302407853
10130445040
11676a6320
1237829040
132104321b
14134783cc
15b6ba5b0
hex7c66ef0

130445040 has 80 divisors (see below), whose sum is σ = 441150336. Its totient is φ = 31622400.

The previous prime is 130445009. The next prime is 130445057. The reversal of 130445040 is 40544031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 130444998 and 130445016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22066 + ... + 27345.

Almost surely, 2130445040 is an apocalyptic number.

130445040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130445040 is an abundant number, since it is smaller than the sum of its proper divisors (310705296).

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

130445040 is a wasteful number, since it uses less digits than its factorization.

130445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49438 (or 49432 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 130445040 is about 11421.2538716202. The cubic root of 130445040 is about 507.1571158931.

Adding to 130445040 its reverse (40544031), we get a palindrome (170989071).

The spelling of 130445040 in words is "one hundred thirty million, four hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 49411 98822 148233 197644 247055 296466 395288 494110 543521 592932 741165 790576 988220 1087042 1185864 1482330 1630563 1976440 2174084 2371728 2717605 2964660 3261126 3952880 4348168 5435210 5929320 6522252 8152815 8696336 10870420 11858640 13044504 16305630 21740840 26089008 32611260 43481680 65222520 130445040