Search a number
-
+
120008676970 = 257131131167059
BaseRepresentation
bin110111111000100010…
…0110001011001101010
3102110202121111110001201
41233301010301121222
53431234210130340
6131044202234414
711445632631460
oct1576104613152
9373677443051
10120008676970
1146993851276
121b3127b5a0a
13b416c34980
145b46564830
1531c5b1b79a
hex1bf113166a

120008676970 has 64 divisors (see below), whose sum is σ = 268218397440. Its totient is φ = 37644622848.

The previous prime is 120008676937. The next prime is 120008676971. The reversal of 120008676970 is 79676800021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120008676970.

It is not an unprimeable number, because it can be changed into a prime (120008676971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480700 + ... + 686359.

It is an arithmetic number, because the mean of its divisors is an integer number (4190912460).

Almost surely, 2120008676970 is an apocalyptic number.

120008676970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120008676970 is an abundant number, since it is smaller than the sum of its proper divisors (148209720470).

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

120008676970 is a wasteful number, since it uses less digits than its factorization.

120008676970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167199.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 120008676970 in words is "one hundred twenty billion, eight million, six hundred seventy-six thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 113 130 182 226 455 565 791 910 1130 1469 1582 2938 3955 7345 7910 10283 14690 20566 51415 102830 1167059 2334118 5835295 8169413 11670590 15171767 16338826 30343534 40847065 75858835 81694130 106202369 131877667 151717670 212404738 263755334 531011845 659388335 923143669 1062023690 1318776670 1714409671 1846287338 3428819342 4615718345 8572048355 9231436690 12000867697 17144096710 24001735394 60004338485 120008676970