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103468080 = 24353113907
BaseRepresentation
bin1100010101011…
…00110000110000
321012200201112010
412022230300300
5202441434310
614133402520
72364315132
oct612546060
9235621463
10103468080
1153450111
122a799440
1318589221
14da55052
15913c320
hex62acc30

103468080 has 80 divisors (see below), whose sum is σ = 331121664. Its totient is φ = 26699520.

The previous prime is 103468073. The next prime is 103468093. The reversal of 103468080 is 80864301.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 487 + ... + 14393.

Almost surely, 2103468080 is an apocalyptic number.

103468080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165560832).

103468080 is an abundant number, since it is smaller than the sum of its proper divisors (227653584).

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

103468080 is a wasteful number, since it uses less digits than its factorization.

103468080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 103468080 is about 10171.9260713004. The cubic root of 103468080 is about 469.4638219369.

The spelling of 103468080 in words is "one hundred three million, four hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 13907 27814 41721 55628 69535 83442 111256 139070 166884 208605 222512 278140 333768 417210 431117 556280 667536 834420 862234 1112560 1293351 1668840 1724468 2155585 2586702 3337680 3448936 4311170 5173404 6466755 6897872 8622340 10346808 12933510 17244680 20693616 25867020 34489360 51734040 103468080