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534190080 = 2113517389
BaseRepresentation
bin11111110101110…
…001100000000000
31101020011200000210
4133311301200000
52043223040310
6125001314120
716144353324
oct3765614000
91336150023
10534190080
11254599a06
1212aa95940
1386896308
1450d35984
1531d6d820
hex1fd71800

534190080 has 96 divisors (see below), whose sum is σ = 1709089200. Its totient is φ = 142442496.

The previous prime is 534190061. The next prime is 534190091. The reversal of 534190080 is 80091435.

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 (30).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22026 + ... + 39414.

Almost surely, 2534190080 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 534190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854544600).

534190080 is an abundant number, since it is smaller than the sum of its proper divisors (1174899120).

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

534190080 is a wasteful number, since it uses less digits than its factorization.

534190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17419 (or 17399 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 534190080 is about 23112.5524336885. The cubic root of 534190080 is about 811.3942759520.

The spelling of 534190080 in words is "five hundred thirty-four million, one hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 17389 30720 34778 52167 69556 86945 104334 139112 173890 208668 260835 278224 347780 417336 521670 556448 695560 834672 1043340 1112896 1391120 1669344 2086680 2225792 2782240 3338688 4173360 4451584 5564480 6677376 8346720 8903168 11128960 13354752 16693440 17806336 22257920 26709504 33386880 35612672 44515840 53419008 66773760 89031680 106838016 133547520 178063360 267095040 534190080