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103468848 = 24372931051
BaseRepresentation
bin1100010101011…
…00111100110000
321012200202120120
412022230330300
5202442000343
614133410240
72364320310
oct612547460
9235622516
10103468848
115345074a
122a799980
1318589692
14da55440
15913c683
hex62acf30

103468848 has 80 divisors (see below), whose sum is σ = 306813696. Its totient is φ = 29433600.

The previous prime is 103468847. The next prime is 103468853. The reversal of 103468848 is 848864301.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (103468843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97923 + ... + 98973.

Almost surely, 2103468848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103468848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153406848).

103468848 is an abundant number, since it is smaller than the sum of its proper divisors (203344848).

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

103468848 is a wasteful number, since it uses less digits than its factorization.

103468848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 103468848 is about 10171.9638221928. The cubic root of 103468848 is about 469.4649834781.

The spelling of 103468848 in words is "one hundred three million, four hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 293 336 586 879 1051 1172 1758 2051 2102 2344 3153 3516 4102 4204 4688 6153 6306 7032 7357 8204 8408 12306 12612 14064 14714 16408 16816 22071 24612 25224 29428 32816 44142 49224 50448 58856 88284 98448 117712 176568 307943 353136 615886 923829 1231772 1847658 2155601 2463544 3695316 4311202 4927088 6466803 7390632 8622404 12933606 14781264 17244808 25867212 34489616 51734424 103468848