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1331927480 = 235133721871
BaseRepresentation
bin100111101100011…
…1001100110111000
310102211020221000102
41033120321212320
510211433134410
6340055454532
745002124332
oct11730714670
93384227012
101331927480
11623924914
12312087448
13182c36390
14c8c72452
157bdea2a5
hex4f6399b8

1331927480 has 96 divisors (see below), whose sum is σ = 3318719040. Its totient is φ = 478241280.

The previous prime is 1331927479. The next prime is 1331927483. The reversal of 1331927480 is 847291331.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331927483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710945 + ... + 712815.

It is an arithmetic number, because the mean of its divisors is an integer number (34569990).

Almost surely, 21331927480 is an apocalyptic number.

1331927480 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 1331927480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659359520).

1331927480 is an abundant number, since it is smaller than the sum of its proper divisors (1986791560).

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

1331927480 is a wasteful number, since it uses less digits than its factorization.

1331927480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 1331927480 is about 36495.5816503861. The cubic root of 1331927480 is about 1100.2554448076.

The spelling of 1331927480 in words is "one billion, three hundred thirty-one million, nine hundred twenty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1369 1480 1871 1924 2405 2738 3742 3848 4810 5476 6845 7484 9355 9620 10952 13690 14968 17797 18710 19240 24323 27380 35594 37420 48646 54760 69227 71188 74840 88985 97292 121615 138454 142376 177970 194584 243230 276908 346135 355940 486460 553816 692270 711880 899951 972920 1384540 1799902 2561399 2769080 3599804 4499755 5122798 7199608 8999510 10245596 12806995 17999020 20491192 25613990 33298187 35998040 51227980 66596374 102455960 133192748 166490935 266385496 332981870 665963740 1331927480