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1090433664 = 2734105173
BaseRepresentation
bin100000011111110…
…1011001010000000
32210222211202210000
41000333223022000
54213122334124
6300111440000
736010350615
oct10077531200
92728752700
101090433664
1150a580a51
12265226000
13144bb1628
14a4b6c50c
1565ae66c9
hex40feb280

1090433664 has 80 divisors (see below), whose sum is σ = 3245143770. Its totient is φ = 363474432.

The previous prime is 1090433653. The next prime is 1090433671. The reversal of 1090433664 is 4663340901.

It can be written as a sum of positive squares in only one way, i.e., 1026561600 + 63872064 = 32040^2 + 7992^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42219 + ... + 62954.

Almost surely, 21090433664 is an apocalyptic number.

It is an amenable number.

1090433664 is an abundant number, since it is smaller than the sum of its proper divisors (2154710106).

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

1090433664 is an equidigital number, since it uses as much as digits as its factorization.

1090433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105199 (or 105178 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1090433664 is about 33021.7150372297. The cubic root of 1090433664 is about 1029.2789322790.

The spelling of 1090433664 in words is "one billion, ninety million, four hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 105173 210346 315519 420692 631038 841384 946557 1262076 1682768 1893114 2524152 2839671 3365536 3786228 5048304 5679342 6731072 7572456 8519013 10096608 11358684 13462144 15144912 17038026 20193216 22717368 30289824 34076052 40386432 45434736 60579648 68152104 90869472 121159296 136304208 181738944 272608416 363477888 545216832 1090433664