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1085899264 = 291131372
BaseRepresentation
bin100000010111001…
…1000001000000000
32210200022101202021
41000232120020000
54210442234024
6255430331224
735623664032
oct10056301000
92720271667
101085899264
11507a6420a
122637b9b14
13143c84758
14a430bc52
15654ecde4
hex40b98200

1085899264 has 60 divisors (see below), whose sum is σ = 2204972154. Its totient is φ = 534216704.

The previous prime is 1085899249. The next prime is 1085899277. The reversal of 1085899264 is 4629985801.

It can be written as a sum of positive squares in 3 ways, for example, as 707985664 + 377913600 = 26608^2 + 19440^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7926204 + ... + 7926340.

Almost surely, 21085899264 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 1085899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102486077).

1085899264 is an abundant number, since it is smaller than the sum of its proper divisors (1119072890).

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

1085899264 is an frugal number, since it uses more digits than its factorization.

1085899264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The square root of 1085899264 is about 32952.9856613934. The cubic root of 1085899264 is about 1027.8502509644.

The spelling of 1085899264 in words is "one billion, eighty-five million, eight hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 113 128 137 226 256 274 452 512 548 904 1096 1808 2192 3616 4384 7232 8768 14464 15481 17536 18769 28928 30962 35072 37538 57856 61924 70144 75076 123848 150152 247696 300304 495392 600608 990784 1201216 1981568 2120897 2402432 3963136 4241794 4804864 7926272 8483588 9609728 16967176 33934352 67868704 135737408 271474816 542949632 1085899264