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534120930 = 232577111941
BaseRepresentation
bin11111110101100…
…000100111100010
31101020001011011200
4133311200213202
52043213332210
6125000022030
716143644610
oct3765404742
91336034150
10534120930
11254551a62
1212aa61916
13868709b5
1450d186b0
1531d580c0
hex1fd609e2

534120930 has 96 divisors (see below), whose sum is σ = 1609590528. Its totient is φ = 120355200.

The previous prime is 534120911. The next prime is 534120947. The reversal of 534120930 is 39021435.

534120930 is a `hidden beast` number, since 534 + 120 + 9 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 534120894 and 534120903.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38760 + ... + 50700.

It is an arithmetic number, because the mean of its divisors is an integer number (16766568).

Almost surely, 2534120930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534120930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804795264).

534120930 is an abundant number, since it is smaller than the sum of its proper divisors (1075469598).

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

534120930 is a wasteful number, since it uses less digits than its factorization.

534120930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12032 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 534120930 is about 23111.0564449140. The cubic root of 534120930 is about 811.3592632368.

The spelling of 534120930 in words is "five hundred thirty-four million, one hundred twenty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 71 90 105 126 142 210 213 315 355 426 497 630 639 710 994 1065 1278 1491 2130 2485 2982 3195 4473 4970 6390 7455 8946 11941 14910 22365 23882 35823 44730 59705 71646 83587 107469 119410 167174 179115 214938 250761 358230 417935 501522 537345 752283 835870 847811 1074690 1253805 1504566 1695622 2507610 2543433 3761415 4239055 5086866 5934677 7522830 7630299 8478110 11869354 12717165 15260598 17804031 25434330 29673385 35608062 38151495 53412093 59346770 76302990 89020155 106824186 178040310 267060465 534120930