Search a number
-
+
261053064 = 23331677237
BaseRepresentation
bin11111000111101…
…01101010001000
3200012012212111000
433203311222020
51013312144224
641523135000
76316625436
oct1743655210
9605185430
10261053064
111243a3038
1273514460
134211268c
1426955d56
1517db90c9
hexf8f5a88

261053064 has 64 divisors (see below), whose sum is σ = 729590400. Its totient is φ = 86484672.

The previous prime is 261053057. The next prime is 261053069. The reversal of 261053064 is 460350162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261053069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32454 + ... + 39690.

It is an arithmetic number, because the mean of its divisors is an integer number (11399850).

Almost surely, 2261053064 is an apocalyptic number.

261053064 is a gapful number since it is divisible by the number (24) 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 261053064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364795200).

261053064 is an abundant number, since it is smaller than the sum of its proper divisors (468537336).

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

261053064 is a wasteful number, since it uses less digits than its factorization.

261053064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 261053064 is about 16157.1366275092. The cubic root of 261053064 is about 639.1109595934.

The spelling of 261053064 in words is "two hundred sixty-one million, fifty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 167 216 334 501 668 1002 1336 1503 2004 3006 4008 4509 6012 7237 9018 12024 14474 18036 21711 28948 36072 43422 57896 65133 86844 130266 173688 195399 260532 390798 521064 781596 1208579 1563192 2417158 3625737 4834316 7251474 9668632 10877211 14502948 21754422 29005896 32631633 43508844 65263266 87017688 130526532 261053064