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590214040 = 235132361809
BaseRepresentation
bin100011001011011…
…111001110011000
31112010120222110021
4203023133032120
52202043322130
6134322200224
720424510433
oct4313371630
91463528407
10590214040
112831845a9
121457b3074
13953805a0
145855a81a
1536c3837a
hex232df398

590214040 has 128 divisors (see below), whose sum is σ = 1518652800. Its totient is φ = 204779520.

The previous prime is 590213969. The next prime is 590214067. The reversal of 590214040 is 40412095.

It is a super-2 number, since 2×5902140402 = 696705226026243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 590213996 and 590214014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729156 + ... + 729964.

It is an arithmetic number, because the mean of its divisors is an integer number (11864475).

Almost surely, 2590214040 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 590214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

590214040 is an abundant number, since it is smaller than the sum of its proper divisors (928438760).

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

590214040 is a wasteful number, since it uses less digits than its factorization.

590214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 590214040 is about 24294.3211471323. The cubic root of 590214040 is about 838.8220639884.

The spelling of 590214040 in words is "five hundred ninety million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 61 65 92 104 115 122 130 184 230 244 260 299 305 460 488 520 598 610 793 809 920 1196 1220 1403 1495 1586 1618 2392 2440 2806 2990 3172 3236 3965 4045 5612 5980 6344 6472 7015 7930 8090 10517 11224 11960 14030 15860 16180 18239 18607 21034 28060 31720 32360 36478 37214 42068 49349 52585 56120 72956 74428 84136 91195 93035 98698 105170 145912 148856 182390 186070 197396 210340 241891 246745 364780 372140 394792 420680 483782 493490 641537 729560 744280 967564 986980 1135027 1209455 1283074 1935128 1973960 2270054 2418910 2566148 3207685 4540108 4837820 5132296 5675135 6415370 9080216 9675640 11350270 12830740 14755351 22700540 25661480 29510702 45401080 59021404 73776755 118042808 147553510 295107020 590214040