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260689920 = 212354243
BaseRepresentation
bin11111000100111…
…01000000000000
3200011112102100020
433202131000000
51013214034140
641511253440
76313553631
oct1742350000
9604472306
10260689920
11124175217
127337a280
13420162ba
142689d888
1517d466d0
hexf89d000

260689920 has 104 divisors (see below), whose sum is σ = 834302496. Its totient is φ = 69500928.

The previous prime is 260689909. The next prime is 260689921. The reversal of 260689920 is 29986062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260689921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59319 + ... + 63561.

Almost surely, 2260689920 is an apocalyptic number.

260689920 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 260689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417151248).

260689920 is an abundant number, since it is smaller than the sum of its proper divisors (573612576).

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

260689920 is an equidigital number, since it uses as much as digits as its factorization.

260689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 260689920 is about 16145.8948342915. The cubic root of 260689920 is about 638.8144719653.

The spelling of 260689920 in words is "two hundred sixty million, six hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 4243 5120 6144 7680 8486 10240 12288 12729 15360 16972 20480 21215 25458 30720 33944 42430 50916 61440 63645 67888 84860 101832 127290 135776 169720 203664 254580 271552 339440 407328 509160 543104 678880 814656 1018320 1086208 1357760 1629312 2036640 2172416 2715520 3258624 4073280 4344832 5431040 6517248 8146560 8689664 10862080 13034496 16293120 17379328 21724160 26068992 32586240 43448320 52137984 65172480 86896640 130344960 260689920