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1213014480 = 243523219749
BaseRepresentation
bin100100001001101…
…0010000111010000
310010112111112001020
41020103102013100
54441012430410
6320211035440
742026311236
oct11023220720
93115445036
101213014480
11572795807
1229a29bb80
13164400162
14b715a956
157175ba70
hex484d21d0

1213014480 has 80 divisors (see below), whose sum is σ = 3923856000. Its totient is φ = 309405184.

The previous prime is 1213014437. The next prime is 1213014487. The reversal of 1213014480 is 844103121.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1213014480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213014487) by changing a digit.

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, 104355 + ... + 115394.

It is an arithmetic number, because the mean of its divisors is an integer number (49048200).

Almost surely, 21213014480 is an apocalyptic number.

1213014480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213014480 is an abundant number, since it is smaller than the sum of its proper divisors (2710841520).

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

1213014480 is a wasteful number, since it uses less digits than its factorization.

1213014480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219788 (or 219782 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1213014480 is about 34828.3574117414. The cubic root of 1213014480 is about 1066.4864165909.

The spelling of 1213014480 in words is "one billion, two hundred thirteen million, fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 219749 439498 659247 878996 1098745 1318494 1757992 2197490 2636988 3296235 3515984 4394980 5054227 5273976 6592470 8789960 10108454 10547952 13184940 15162681 17579920 20216908 25271135 26369880 30325362 40433816 50542270 52739760 60650724 75813405 80867632 101084540 121301448 151626810 202169080 242602896 303253620 404338160 606507240 1213014480