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59968104 = 23371918787
BaseRepresentation
bin1110010011000…
…0101001101000
311011211200202220
43210300221220
5110322434404
65541154040
71325502060
oct344605150
9134750686
1059968104
1130939a19
12180bb920
13c5685b1
147d703a0
1553e84d9
hex3930a68

59968104 has 64 divisors (see below), whose sum is σ = 180364800. Its totient is φ = 16231104.

The previous prime is 59968093. The next prime is 59968121. The reversal of 59968104 is 40186995.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 6202 + ... + 12585.

It is an arithmetic number, because the mean of its divisors is an integer number (2818200).

Almost surely, 259968104 is an apocalyptic number.

It is an amenable number.

59968104 is an abundant number, since it is smaller than the sum of its proper divisors (120396696).

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

59968104 is a wasteful number, since it uses less digits than its factorization.

59968104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18822 (or 18818 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 59968104 is about 7743.9075407704. The cubic root of 59968104 is about 391.4173803660.

The spelling of 59968104 in words is "fifty-nine million, nine hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 18787 37574 56361 75148 112722 131509 150296 225444 263018 356953 394527 450888 526036 713906 789054 1052072 1070859 1427812 1578108 2141718 2498671 2855624 3156216 4283436 4997342 7496013 8566872 9994684 14992026 19989368 29984052 59968104