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981429696 = 26341314563
BaseRepresentation
bin111010011111110…
…110110111000000
32112101201210110000
4322133312313000
54002221222241
6241215240000
733215005032
oct7237666700
92471653400
10981429696
11463a9a725
12234819000
13128437740
14944b5c52
155b263eb6
hex3a7f6dc0

981429696 has 140 divisors (see below), whose sum is σ = 3133269832. Its totient is φ = 301957632.

The previous prime is 981429679. The next prime is 981429697. The reversal of 981429696 is 696924189.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981429697) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60111 + ... + 74673.

Almost surely, 2981429696 is an apocalyptic number.

981429696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566634916).

981429696 is an abundant number, since it is smaller than the sum of its proper divisors (2151840136).

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

981429696 is a wasteful number, since it uses less digits than its factorization.

981429696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14600 (or 14581 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 981429696 is about 31327.7783444661. The cubic root of 981429696 is about 993.7711810366.

The spelling of 981429696 in words is "nine hundred eighty-one million, four hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 14563 16848 22464 29126 33696 43689 58252 67392 87378 116504 131067 174756 189319 233008 262134 349512 378638 393201 466016 524268 567957 699024 757276 786402 932032 1048536 1135914 1179603 1398048 1514552 1572804 1703871 2097072 2271828 2359206 2796096 3029104 3145608 3407742 4194144 4543656 4718412 5111613 6058208 6291216 6815484 8388288 9087312 9436824 10223226 12116416 12582432 13630968 15334839 18174624 18873648 20446452 25164864 27261936 30669678 36349248 37747296 40892904 54523872 61339356 75494592 81785808 109047744 122678712 163571616 245357424 327143232 490714848 981429696