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1331014620 = 2235134736307
BaseRepresentation
bin100111101010101…
…1010101111011100
310102202112112210210
41033111122233130
510211214431440
6340024132420
744661303045
oct11725325734
93382475723
101331014620
11623360a91
12311907110
131829a6a20
14c8ab58cc
157bcb9a80
hex4f55abdc

1331014620 has 96 divisors (see below), whose sum is σ = 4099027968. Its totient is φ = 320654592.

The previous prime is 1331014613. The next prime is 1331014649. The reversal of 1331014620 is 264101331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18507 + ... + 54813.

It is an arithmetic number, because the mean of its divisors is an integer number (42698208).

Almost surely, 21331014620 is an apocalyptic number.

1331014620 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 1331014620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049513984).

1331014620 is an abundant number, since it is smaller than the sum of its proper divisors (2768013348).

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

1331014620 is a wasteful number, since it uses less digits than its factorization.

1331014620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36379 (or 36377 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1331014620 is about 36483.0730613527. The cubic root of 1331014620 is about 1100.0040275335.

Adding to 1331014620 its reverse (264101331), we get a palindrome (1595115951).

The spelling of 1331014620 in words is "one billion, three hundred thirty-one million, fourteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1833 2444 2820 3055 3666 6110 7332 9165 12220 18330 36307 36660 72614 108921 145228 181535 217842 363070 435684 471991 544605 726140 943982 1089210 1415973 1706429 1887964 2178420 2359955 2831946 3412858 4719910 5119287 5663892 6825716 7079865 8532145 9439820 10238574 14159730 17064290 20477148 22183577 25596435 28319460 34128580 44367154 51192870 66550731 88734308 102385740 110917885 133101462 221835770 266202924 332753655 443671540 665507310 1331014620