Search a number
-
+
260984040 = 23353170157
BaseRepresentation
bin11111000111001…
…00110011101000
3200012002100210120
433203210303220
51013302442130
641521443240
76316220262
oct1743446350
9605070716
10260984040
11124356199
12734a0520
13420ba135
1426938b32
1517da3910
hexf8e4ce8

260984040 has 64 divisors (see below), whose sum is σ = 808220160. Its totient is φ = 67349760.

The previous prime is 260984039. The next prime is 260984107. The reversal of 260984040 is 40489062.

It is a super-2 number, since 2×2609840402 = 136225338269443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 260983992 and 260984010.

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, 31359 + ... + 38798.

It is an arithmetic number, because the mean of its divisors is an integer number (12628440).

Almost surely, 2260984040 is an apocalyptic number.

260984040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260984040 is an abundant number, since it is smaller than the sum of its proper divisors (547236120).

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

260984040 is a wasteful number, since it uses less digits than its factorization.

260984040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70202 (or 70198 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 260984040 is about 16155.0004642525. Note that the first 3 decimals coincide. The cubic root of 260984040 is about 639.0546263678.

The spelling of 260984040 in words is "two hundred sixty million, nine hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 70157 140314 210471 280628 350785 420942 561256 701570 841884 1052355 1403140 1683768 2104710 2174867 2806280 4209420 4349734 6524601 8418840 8699468 10874335 13049202 17398936 21748670 26098404 32623005 43497340 52196808 65246010 86994680 130492020 260984040