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1213417680 = 24357369259
BaseRepresentation
bin100100001010011…
…0100100011010000
310010120021000010120
41020110310203100
54441113331210
6320223430240
742032610606
oct11024644320
93116230116
101213417680
11572a40732
1229a455380
13164511837
14b7223876
15717db270
hex485348d0

1213417680 has 80 divisors (see below), whose sum is σ = 3813178560. Its totient is φ = 319140864.

The previous prime is 1213417679. The next prime is 1213417697. The reversal of 1213417680 is 867143121.

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

It is a super-2 number, since 2×12134176802 = 2944764932273164800, which contains 22 as substring.

It is a congruent number.

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, 17110 + ... + 52149.

It is an arithmetic number, because the mean of its divisors is an integer number (47664732).

Almost surely, 21213417680 is an apocalyptic number.

1213417680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213417680 is an abundant number, since it is smaller than the sum of its proper divisors (2599760880).

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

1213417680 is a wasteful number, since it uses less digits than its factorization.

1213417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69348 (or 69342 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1213417680 is about 34834.1453174898. The cubic root of 1213417680 is about 1066.6045684335.

The spelling of 1213417680 in words is "one billion, two hundred thirteen million, four hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 69259 138518 207777 277036 346295 415554 554072 692590 831108 1038885 1108144 1385180 1662216 2077770 2770360 3324432 4155540 5055907 5540720 8311080 10111814 15167721 16622160 20223628 25279535 30335442 40447256 50559070 60670884 75838605 80894512 101118140 121341768 151677210 202236280 242683536 303354420 404472560 606708840 1213417680