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104298720 = 25351511439
BaseRepresentation
bin1100011011101…
…11100011100000
321021020220221120
412031313203200
5203200024340
614203252240
72404344621
oct615674340
9237226846
10104298720
1153968199
122ab1a080
13187ba326
14dbcda48
1592534d0
hex63778e0

104298720 has 96 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 27609600.

The previous prime is 104298709. The next prime is 104298739. The reversal of 104298720 is 27892401.

It is a happy number.

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

It is a super-3 number, since 3×1042987203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71761 + ... + 73199.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2104298720 is an apocalyptic number.

104298720 is a gapful number since it is divisible by the number (10) 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 104298720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

104298720 is an abundant number, since it is smaller than the sum of its proper divisors (226647840).

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

104298720 is a wasteful number, since it uses less digits than its factorization.

104298720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 104298720 is about 10212.6744783137. The cubic root of 104298720 is about 470.7167575922.

The spelling of 104298720 in words is "one hundred four million, two hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 160 240 302 453 480 604 755 906 1208 1439 1510 1812 2265 2416 2878 3020 3624 4317 4530 4832 5756 6040 7195 7248 8634 9060 11512 12080 14390 14496 17268 18120 21585 23024 24160 28780 34536 36240 43170 46048 57560 69072 72480 86340 115120 138144 172680 217289 230240 345360 434578 651867 690720 869156 1086445 1303734 1738312 2172890 2607468 3259335 3476624 4345780 5214936 6518670 6953248 8691560 10429872 13037340 17383120 20859744 26074680 34766240 52149360 104298720