Search a number
-
+
260060640 = 25357211057
BaseRepresentation
bin11111000000000…
…11010111100000
3200010100110010120
433200003113200
51013033420030
641450000240
76305323200
oct1740032740
9603313116
10260060640
11123885454
1273116080
1341b55a48
1426778400
1517c70010
hexf8035e0

260060640 has 144 divisors (see below), whose sum is σ = 953022672. Its totient is φ = 59437056.

The previous prime is 260060639. The next prime is 260060641. The reversal of 260060640 is 46060062.

It is an interprime number because it is at equal distance from previous prime (260060639) and next prime (260060641).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 260060640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260060641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17992 + ... + 29048.

It is an arithmetic number, because the mean of its divisors is an integer number (6618213).

Almost surely, 2260060640 is an apocalyptic number.

260060640 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 260060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476511336).

260060640 is an abundant number, since it is smaller than the sum of its proper divisors (692962032).

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

260060640 is a wasteful number, since it uses less digits than its factorization.

260060640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11089 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 260060640 is about 16126.3957535464. The cubic root of 260060640 is about 638.3000459084.

The spelling of 260060640 in words is "two hundred sixty million, sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11057 11760 22114 23520 33171 44228 55285 66342 77399 88456 110570 132684 154798 165855 176912 221140 232197 265368 309596 331710 353824 386995 442280 464394 530736 541793 619192 663420 773990 884560 928788 1061472 1083586 1160985 1238384 1326840 1547980 1625379 1769120 1857576 2167172 2321970 2476768 2653680 2708965 3095960 3250758 3715152 4334344 4643940 5307360 5417930 6191920 6501516 7430304 8126895 8668688 9287880 10835860 12383840 13003032 16253790 17337376 18575760 21671720 26006064 32507580 37151520 43343440 52012128 65015160 86686880 130030320 260060640