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1069432704 = 27324321589
BaseRepresentation
bin111111101111100…
…011111110000000
32202112022210212200
4333233203332000
54142233321304
6254041353200
735334012414
oct7757437600
92675283780
101069432704
114a973768a
1225a198800
1314073a722
14a2062d44
1563d48e39
hex3fbe3f80

1069432704 has 96 divisors (see below), whose sum is σ = 3149117400. Its totient is φ = 348171264.

The previous prime is 1069432703. The next prime is 1069432709. The reversal of 1069432704 is 4072349601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10694327042 = 2287372616769503232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069432703) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38742 + ... + 60330.

Almost surely, 21069432704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069432704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574558700).

1069432704 is an abundant number, since it is smaller than the sum of its proper divisors (2079684696).

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

1069432704 is a wasteful number, since it uses less digits than its factorization.

1069432704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21652 (or 21637 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1069432704 is about 32702.1819455522. The cubic root of 1069432704 is about 1022.6283310851.

The spelling of 1069432704 in words is "one billion, sixty-nine million, four hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 16512 21589 24768 43178 49536 64767 86356 129534 172712 194301 259068 345424 388602 518136 690848 777204 928327 1036272 1381696 1554408 1856654 2072544 2763392 2784981 3108816 3713308 4145088 5569962 6217632 7426616 8290176 8354943 11139924 12435264 14853232 16709886 22279848 24870528 29706464 33419772 44559696 59412928 66839544 89119392 118825856 133679088 178238784 267358176 356477568 534716352 1069432704