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671112960 = 2835724967
BaseRepresentation
bin101000000000000…
…101111100000000
31201202211001220120
4220000011330000
52333301103320
6150332140240
722426236360
oct5000057400
91652731816
10671112960
1131490a111
12168907680
13a9066b7b
14651b89a0
153ddb8440
hex28005f00

671112960 has 144 divisors (see below), whose sum is σ = 2449660416. Its totient is φ = 153391104.

The previous prime is 671112943. The next prime is 671112971. The reversal of 671112960 is 69211176.

It is a zygodrome in base 4.

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, 14397 + ... + 39363.

Almost surely, 2671112960 is an apocalyptic number.

671112960 is a gapful number since it is divisible by the number (60) 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 671112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224830208).

671112960 is an abundant number, since it is smaller than the sum of its proper divisors (1778547456).

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

671112960 is a wasteful number, since it uses less digits than its factorization.

671112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24998 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 671112960 is about 25905.8479884369. The cubic root of 671112960 is about 875.5182605938.

The spelling of 671112960 in words is "six hundred seventy-one million, one hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 24967 26880 49934 74901 99868 124835 149802 174769 199736 249670 299604 349538 374505 399472 499340 524307 599208 699076 749010 798944 873845 998680 1048614 1198416 1398152 1498020 1597888 1747690 1997360 2097228 2396832 2621535 2796304 2996040 3195776 3495380 3994720 4194456 4793664 5243070 5592608 5992080 6391552 6990760 7989440 8388912 9587328 10486140 11185216 11984160 13981520 15978880 16777824 19174656 20972280 22370432 23968320 27963040 31957760 33555648 41944560 44740864 47936640 55926080 67111296 83889120 95873280 111852160 134222592 167778240 223704320 335556480 671112960