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40130160 = 2435723887
BaseRepresentation
bin1001100100010…
…1011001110000
32210111211020020
42121011121300
540233131120
63552043440
7665046360
oct231053160
983454206
1040130160
112071a424
1211533580
138410b75
1454889a0
1537ca640
hex2645670

40130160 has 80 divisors (see below), whose sum is σ = 142181376. Its totient is φ = 9172224.

The previous prime is 40130143. The next prime is 40130197. The reversal of 40130160 is 6103104.

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

It is a super-2 number, since 2×401301602 = 3220859483251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10264 + ... + 13623.

Almost surely, 240130160 is an apocalyptic number.

40130160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40130160 is an abundant number, since it is smaller than the sum of its proper divisors (102051216).

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

40130160 is a wasteful number, since it uses less digits than its factorization.

40130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23910 (or 23904 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 40130160 is about 6334.8370144780. The cubic root of 40130160 is about 342.3657384852.

Adding to 40130160 its reverse (6103104), we get a palindrome (46233264).

The spelling of 40130160 in words is "forty million, one hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 23887 47774 71661 95548 119435 143322 167209 191096 238870 286644 334418 358305 382192 477740 501627 573288 668836 716610 836045 955480 1003254 1146576 1337672 1433220 1672090 1910960 2006508 2508135 2675344 2866440 3344180 4013016 5016270 5732880 6688360 8026032 10032540 13376720 20065080 40130160