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260841440 = 25531431223
BaseRepresentation
bin11111000110000…
…01111111100000
3200011211010012002
433203001333200
51013233411230
641514423132
76315054446
oct1743017740
9604733162
10260841440
11124269042
1273431aa8
134206a262
14268dcb96
1517d76545
hexf8c1fe0

260841440 has 96 divisors (see below), whose sum is σ = 651442176. Its totient is φ = 98542080.

The previous prime is 260841437. The next prime is 260841463. The reversal of 260841440 is 44148062.

It is a zygodrome in base 2.

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, 212669 + ... + 213891.

It is an arithmetic number, because the mean of its divisors is an integer number (6785856).

Almost surely, 2260841440 is an apocalyptic number.

260841440 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 260841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325721088).

260841440 is an abundant number, since it is smaller than the sum of its proper divisors (390600736).

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

260841440 is a wasteful number, since it uses less digits than its factorization.

260841440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 260841440 is about 16150.5863670642. The cubic root of 260841440 is about 638.9382133843.

The spelling of 260841440 in words is "two hundred sixty million, eight hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 80 86 124 155 160 172 215 248 310 344 430 496 620 688 860 992 1223 1240 1333 1376 1720 2446 2480 2666 3440 4892 4960 5332 6115 6665 6880 9784 10664 12230 13330 19568 21328 24460 26660 37913 39136 42656 48920 52589 53320 75826 97840 105178 106640 151652 189565 195680 210356 213280 262945 303304 379130 420712 525890 606608 758260 841424 1051780 1213216 1516520 1630259 1682848 2103560 3033040 3260518 4207120 6066080 6521036 8151295 8414240 13042072 16302590 26084144 32605180 52168288 65210360 130420720 260841440