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1321280832 = 26329359661
BaseRepresentation
bin100111011000001…
…0010010101000000
310102002020000120010
41032300102111000
510201221441312
6335035344520
744512462464
oct11660222500
93362200503
101321280832
11618912933
1230a5b2140
131809793a1
14c76a04a4
157aee593c
hex4ec12540

1321280832 has 112 divisors (see below), whose sum is σ = 3631996800. Its totient is φ = 423413760.

The previous prime is 1321280809. The next prime is 1321280897. The reversal of 1321280832 is 2380821231.

It is a super-2 number, since 2×13212808322 = 3491566074021224448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1321280832.

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, 1998582 + ... + 1999242.

Almost surely, 21321280832 is an apocalyptic number.

1321280832 is a gapful number since it is divisible by the number (12) 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 1321280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815998400).

1321280832 is an abundant number, since it is smaller than the sum of its proper divisors (2310715968).

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

1321280832 is a wasteful number, since it uses less digits than its factorization.

1321280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1321280832 is about 36349.4268455501. The cubic root of 1321280832 is about 1097.3159996153.

The spelling of 1321280832 in words is "one billion, three hundred twenty-one million, two hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 359 464 661 696 718 928 1077 1322 1392 1436 1856 1983 2154 2644 2784 2872 3966 4308 5288 5568 5744 7932 8616 10411 10576 11488 15864 17232 19169 20822 21152 22976 31233 31728 34464 38338 41644 42304 57507 62466 63456 68928 76676 83288 115014 124932 126912 153352 166576 230028 237299 249864 306704 333152 460056 474598 499728 613408 666304 711897 920112 949196 999456 1226816 1423794 1840224 1898392 1998912 2847588 3680448 3796784 5695176 6881671 7593568 11390352 13763342 15187136 20645013 22780704 27526684 41290026 45561408 55053368 82580052 110106736 165160104 220213472 330320208 440426944 660640416 1321280832