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1078411104 = 25334329027
BaseRepresentation
bin100000001000111…
…0011111101100000
32210011012221221000
41000101303331200
54202033123404
6255002032000
735503225461
oct10021637540
92704187830
101078411104
1150380a251
122611a8600
131425622a4
14a331cd68
1564a1e339
hex40473f60

1078411104 has 96 divisors (see below), whose sum is σ = 3218624640. Its totient is φ = 351098496.

The previous prime is 1078411091. The next prime is 1078411109. The reversal of 1078411104 is 4011148701.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078411109) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22639 + ... + 51665.

It is an arithmetic number, because the mean of its divisors is an integer number (33527340).

Almost surely, 21078411104 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 1078411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609312320).

1078411104 is an abundant number, since it is smaller than the sum of its proper divisors (2140213536).

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

1078411104 is a wasteful number, since it uses less digits than its factorization.

1078411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29089 (or 29075 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1078411104 is about 32839.1702696642. The cubic root of 1078411104 is about 1025.4821777401.

Adding to 1078411104 its reverse (4011148701), we get a palindrome (5089559805).

The spelling of 1078411104 in words is "one billion, seventy-eight million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 18576 29027 37152 58054 87081 116108 174162 232216 261243 348324 464432 522486 696648 783729 928864 1044972 1248161 1393296 1567458 2089944 2496322 2786592 3134916 3744483 4179888 4992644 6269832 7488966 8359776 9985288 11233449 12539664 14977932 19970576 22466898 25079328 29955864 33700347 39941152 44933796 59911728 67400694 89867592 119823456 134801388 179735184 269602776 359470368 539205552 1078411104