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1020703104 = 27321946633
BaseRepresentation
bin111100110101101…
…011000110000000
32122010122002102200
4330311223012000
54042244444404
6245141113200
734202555541
oct7465530600
92563562380
101020703104
11484184393
122459b8800
13133608645
14997ba4c8
155e920839
hex3cd6b180

1020703104 has 96 divisors (see below), whose sum is σ = 3091834200. Its totient is φ = 322320384.

The previous prime is 1020703093. The next prime is 1020703139. The reversal of 1020703104 is 4013070201.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1429 + ... + 45204.

Almost surely, 21020703104 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 1020703104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545917100).

1020703104 is an abundant number, since it is smaller than the sum of its proper divisors (2071131096).

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

1020703104 is a wasteful number, since it uses less digits than its factorization.

1020703104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46672 (or 46657 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1020703104 is about 31948.4444691756. Note that the first 4 decimals coincide. The cubic root of 1020703104 is about 1006.8539507013.

Adding to 1020703104 its reverse (4013070201), we get a palindrome (5033773305).

The spelling of 1020703104 in words is "one billion, twenty million, seven hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 46633 93266 139899 186532 279798 373064 419697 559596 746128 839394 886027 1119192 1492256 1678788 1772054 2238384 2658081 2984512 3357576 3544108 4476768 5316162 5969024 6715152 7088216 7974243 8953536 10632324 13430304 14176432 15948486 17907072 21264648 26860608 28352864 31896972 42529296 53721216 56705728 63793944 85058592 113411456 127587888 170117184 255175776 340234368 510351552 1020703104