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1213820608 = 267111318947
BaseRepresentation
bin100100001011001…
…0110111011000000
310010121000110211211
41020112112323000
54441214224413
6320240215504
742036206410
oct11026267300
93117013754
101213820608
11573196430
1229a60a594
13164623060
14b72ca640
157186a83d
hex48596ec0

1213820608 has 112 divisors (see below), whose sum is σ = 3234196224. Its totient is φ = 436515840.

The previous prime is 1213820521. The next prime is 1213820623. The reversal of 1213820608 is 8060283121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1213820608.

It is an unprimeable number.

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, 54591 + ... + 73537.

It is an arithmetic number, because the mean of its divisors is an integer number (28876752).

Almost surely, 21213820608 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 1213820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617098112).

1213820608 is an abundant number, since it is smaller than the sum of its proper divisors (2020375616).

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

1213820608 is a wasteful number, since it uses less digits than its factorization.

1213820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18990 (or 18980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1213820608 is about 34839.9283581353. The cubic root of 1213820608 is about 1066.7226144265.

The spelling of 1213820608 in words is "one billion, two hundred thirteen million, eight hundred twenty thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 16016 18947 32032 37894 64064 75788 132629 151576 208417 246311 265258 303152 416834 492622 530516 606304 833668 985244 1061032 1212608 1458919 1667336 1724177 1970488 2122064 2709421 2917838 3334672 3448354 3940976 4244128 5418842 5835676 6669344 6896708 7881952 8488256 10837684 11671352 13338688 13793416 15763904 18965947 21675368 23342704 27586832 37931894 43350736 46685408 55173664 75863788 86701472 93370816 110347328 151727576 173402944 303455152 606910304 1213820608