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260412461040 = 24354135717411
BaseRepresentation
bin1111001010000111001…
…0101100111111110000
3220220011120222200102110
43302201302230333300
513231311042223130
6315344250445320
724546156253014
oct3624162547760
9826146880373
10260412461040
11a0493055356
1242577733840
131b731361744
14c865660544
156b91eecab0
hex3ca1cacff0

260412461040 has 160 divisors (see below), whose sum is σ = 827311548672. Its totient is φ = 67721472000.

The previous prime is 260412461027. The next prime is 260412461069. The reversal of 260412461040 is 40164214062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 260412460989 and 260412461007.

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, 35134935 + ... + 35142345.

Almost surely, 2260412461040 is an apocalyptic number.

260412461040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260412461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413655774336).

260412461040 is an abundant number, since it is smaller than the sum of its proper divisors (566899087632).

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

260412461040 is a wasteful number, since it uses less digits than its factorization.

260412461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11039 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 260412461040 in words is "two hundred sixty billion, four hundred twelve million, four hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 3571 4920 7142 7411 9840 10713 14284 14822 17855 21426 22233 28568 29644 35710 37055 42852 44466 53565 57136 59288 71420 74110 85704 88932 107130 111165 118576 142840 146411 148220 171408 177864 214260 222330 285680 292822 296440 303851 355728 428520 439233 444660 585644 592880 607702 732055 857040 878466 889320 911553 1171288 1215404 1464110 1519255 1756932 1778640 1823106 2196165 2342576 2430808 2928220 3038510 3513864 3646212 4392330 4557765 4861616 5856440 6077020 7027728 7292424 8784660 9115530 11712880 12154040 14584848 17569320 18231060 24308080 26464681 35138640 36462120 52929362 72924240 79394043 105858724 132323405 158788086 211717448 264646810 317576172 396970215 423434896 529293620 635152344 793940430 1058587240 1085051921 1270304688 1587880860 2117174480 2170103842 3175761720 3255155763 4340207684 5425259605 6351523440 6510311526 8680415368 10850519210 13020623052 16275778815 17360830736 21701038420 26041246104 32551557630 43402076840 52082492208 65103115260 86804153680 130206230520 260412461040