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534455640 = 2332510114699
BaseRepresentation
bin11111110110110…
…010010101011000
31101020200011022100
4133312302111120
52043310040030
6125011123400
716146540465
oct3766622530
91336604270
10534455640
11254760484
1212aba3560
138695a154
1450da466c
1531dc2360
hex1fdb2558

534455640 has 96 divisors (see below), whose sum is σ = 1754298000. Its totient is φ = 141100800.

The previous prime is 534455629. The next prime is 534455651. The reversal of 534455640 is 46554435.

534455640 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 5 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (534455629) and next prime (534455651).

It is a super-2 number, since 2×5344556402 = 571285662255619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 534455595 and 534455604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29011 + ... + 43709.

Almost surely, 2534455640 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 534455640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877149000).

534455640 is an abundant number, since it is smaller than the sum of its proper divisors (1219842360).

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

534455640 is a wasteful number, since it uses less digits than its factorization.

534455640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14817 (or 14810 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 534455640 is about 23118.2966500562. The cubic root of 534455640 is about 811.5287088539.

It can be divided in two parts, 534455 and 640, that added together give a triangular number (535095 = T1034).

The spelling of 534455640 in words is "five hundred thirty-four million, four hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 14699 18180 29398 36360 44097 58796 73495 88194 117592 132291 146990 176388 220485 264582 293980 352776 440970 529164 587960 661455 881940 1058328 1322910 1484599 1763880 2645820 2969198 4453797 5291640 5938396 7422995 8907594 11876792 13361391 14845990 17815188 22268985 26722782 29691980 35630376 44537970 53445564 59383960 66806955 89075940 106891128 133613910 178151880 267227820 534455640