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1321936020 = 2232519834657
BaseRepresentation
bin100111011001011…
…0010010010010100
310102010110022022100
41032302302102110
510201403423040
6335101402100
744521161606
oct11662622224
93363408270
101321936020
11619220109
1230a869330
13180b48682
14c77d1176
157b0c4b30
hex4ecb2494

1321936020 has 144 divisors (see below), whose sum is σ = 4272690240. Its totient is φ = 329868288.

The previous prime is 1321936019. The next prime is 1321936027. The reversal of 1321936020 is 206391231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321936027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281532 + ... + 286188.

It is an arithmetic number, because the mean of its divisors is an integer number (29671460).

Almost surely, 21321936020 is an apocalyptic number.

1321936020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321936020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136345120).

1321936020 is an abundant number, since it is smaller than the sum of its proper divisors (2950754220).

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

1321936020 is a wasteful number, since it uses less digits than its factorization.

1321936020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1321936020 is about 36358.4380852643. The cubic root of 1321936020 is about 1097.4973462437.

The spelling of 1321936020 in words is "one billion, three hundred twenty-one million, nine hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 83 90 95 114 166 171 180 190 228 249 285 332 342 380 415 498 570 684 747 830 855 996 1140 1245 1494 1577 1660 1710 2490 2988 3154 3420 3735 4657 4731 4980 6308 7470 7885 9314 9462 13971 14193 14940 15770 18628 18924 23285 23655 27942 28386 31540 41913 46570 47310 55884 56772 69855 70965 83826 88483 93140 94620 139710 141930 167652 176966 209565 265449 279420 283860 353932 386531 419130 442415 530898 773062 796347 838260 884830 1061796 1159593 1327245 1546124 1592694 1769660 1932655 2319186 2654490 3185388 3478779 3865310 3981735 4638372 5308980 5797965 6957558 7344089 7730620 7963470 11595930 13915116 14688178 15926940 17393895 22032267 23191860 29376356 34787790 36720445 44064534 66096801 69575580 73440890 88129068 110161335 132193602 146881780 220322670 264387204 330484005 440645340 660968010 1321936020