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260030080 = 2753779139
BaseRepresentation
bin11110111111110…
…11111010000000
3200010021220012201
433133323322000
51013031430310
641445202544
76305135122
oct1737737200
9603256181
10260030080
111238644a2
1273100454
1341b44b6b
142676b212
1517c65e3a
hexf7fbe80

260030080 has 128 divisors (see below), whose sum is σ = 651168000. Its totient is φ = 99201024.

The previous prime is 260030059. The next prime is 260030107. The reversal of 260030080 is 80030062.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1870651 + ... + 1870789.

It is an arithmetic number, because the mean of its divisors is an integer number (5087250).

Almost surely, 2260030080 is an apocalyptic number.

260030080 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 260030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325584000).

260030080 is an abundant number, since it is smaller than the sum of its proper divisors (391137920).

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

260030080 is a wasteful number, since it uses less digits than its factorization.

260030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 260030080 is about 16125.4482108250. The cubic root of 260030080 is about 638.2750424919.

The spelling of 260030080 in words is "two hundred sixty million, thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 79 80 128 139 148 158 160 185 278 296 316 320 370 395 556 592 632 640 695 740 790 1112 1184 1264 1390 1480 1580 2224 2368 2528 2780 2923 2960 3160 4448 4736 5056 5143 5560 5846 5920 6320 8896 10112 10286 10981 11120 11692 11840 12640 14615 17792 20572 21962 22240 23384 23680 25280 25715 29230 41144 43924 44480 46768 50560 51430 54905 58460 82288 87848 88960 93536 102860 109810 116920 164576 175696 187072 205720 219620 233840 329152 351392 374144 406297 411440 439240 467680 658304 702784 812594 822880 878480 935360 1405568 1625188 1645760 1756960 1870720 2031485 3250376 3291520 3513920 4062970 6500752 7027840 8125940 13001504 16251880 26003008 32503760 52006016 65007520 130015040 260030080