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107341080720 = 24351273521689
BaseRepresentation
bin110001111111000000…
…1101110100010010000
3101021001210011212211020
41203332001232202100
53224313304040340
6121151203515440
710520004063126
oct1437601564220
9337053155736
10107341080720
1141583272765
1218978388b80
13a178697ba3
1452a4005916
152bd39799d0
hex18fe06e890

107341080720 has 80 divisors (see below), whose sum is σ = 335377582080. Its totient is φ = 28398892032.

The previous prime is 107341080683. The next prime is 107341080731. The reversal of 107341080720 is 27080143701.

It is a happy number.

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

It is a super-2 number, since 2×1073410807202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1730365 + ... + 1791324.

It is an arithmetic number, because the mean of its divisors is an integer number (4192219776).

Almost surely, 2107341080720 is an apocalyptic number.

107341080720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107341080720 is an abundant number, since it is smaller than the sum of its proper divisors (228036501360).

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

107341080720 is a wasteful number, since it uses less digits than its factorization.

107341080720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521832 (or 3521826 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 107341080720 in words is "one hundred seven billion, three hundred forty-one million, eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 15240 30480 3521689 7043378 10565067 14086756 17608445 21130134 28173512 35216890 42260268 52825335 56347024 70433780 84520536 105650670 140867560 169041072 211301340 281735120 422602680 447254503 845205360 894509006 1341763509 1789018012 2236272515 2683527018 3578036024 4472545030 5367054036 6708817545 7156072048 8945090060 10734108072 13417635090 17890180120 21468216144 26835270180 35780360240 53670540360 107341080720