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534382080 = 2935174093
BaseRepresentation
bin11111110110100…
…000011000000000
31101020112102101220
4133312200120000
52043300211310
6125005355040
716146113151
oct3766403000
91336472356
10534382080
11254710191
1212ab68a80
138693281b
1450d85928
1531daa670
hex1fda0600

534382080 has 160 divisors (see below), whose sum is σ = 1809285984. Its totient is φ = 134086656.

The previous prime is 534382033. The next prime is 534382109. The reversal of 534382080 is 80283435.

It is a tau number, because it is divible by the number of its divisors (160).

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, 128514 + ... + 132606.

Almost surely, 2534382080 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 534382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904642992).

534382080 is an abundant number, since it is smaller than the sum of its proper divisors (1274903904).

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

534382080 is a wasteful number, since it uses less digits than its factorization.

534382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 534382080 is about 23116.7056476480. The cubic root of 534382080 is about 811.4914754608.

The spelling of 534382080 in words is "five hundred thirty-four million, three hundred eighty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4093 4352 5440 6528 7680 8160 8186 8704 10880 12279 13056 16320 16372 20465 21760 24558 26112 32640 32744 40930 43520 49116 61395 65280 65488 69581 81860 98232 122790 130560 130976 139162 163720 196464 208743 245580 261952 278324 327440 347905 392928 417486 491160 523904 556648 654880 695810 785856 834972 982320 1043715 1047808 1113296 1309760 1391620 1571712 1669944 1964640 2087430 2095616 2226592 2619520 2783240 3143424 3339888 3929280 4174860 4453184 5239040 5566480 6286848 6679776 7858560 8349720 8906368 10478080 11132960 13359552 15717120 16699440 17812736 22265920 26719104 31434240 33398880 35625472 44531840 53438208 66797760 89063680 106876416 133595520 178127360 267191040 534382080