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239098080 = 25351338317
BaseRepresentation
bin11100100000001…
…01100011100000
3121122220102220110
432100011203200
5442202114310
635420411320
75632204644
oct1620054340
9548812813
10239098080
11112a67a21
12680a6b40
133a6c6470
1423a7cc24
1515ecdd20
hexe4058e0

239098080 has 96 divisors (see below), whose sum is σ = 811115424. Its totient is φ = 58853376.

The previous prime is 239098073. The next prime is 239098099. The reversal of 239098080 is 80890932.

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 (39).

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, 12919 + ... + 25398.

It is an arithmetic number, because the mean of its divisors is an integer number (8449119).

Almost surely, 2239098080 is an apocalyptic number.

239098080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

239098080 is an abundant number, since it is smaller than the sum of its proper divisors (572017344).

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

239098080 is a wasteful number, since it uses less digits than its factorization.

239098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38348 (or 38340 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 239098080 is about 15462.7966422636. The cubic root of 239098080 is about 620.6670586750.

The spelling of 239098080 in words is "two hundred thirty-nine million, ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 38317 76634 114951 153268 191585 229902 306536 383170 459804 498121 574755 613072 766340 919608 996242 1149510 1226144 1494363 1532680 1839216 1992484 2299020 2490605 2988726 3065360 3678432 3984968 4598040 4981210 5977452 6130720 7471815 7969936 9196080 9962420 11954904 14943630 15939872 18392160 19924840 23909808 29887260 39849680 47819616 59774520 79699360 119549040 239098080