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265140480 = 2835116277
BaseRepresentation
bin11111100110110…
…11100100000000
3200110220112100210
433303123210000
51020333443410
642150514120
76366441213
oct1763334400
9613815323
10265140480
11126734a70
1274965940
1342c13c77
14272db77a
1518425220
hexfcdb900

265140480 has 144 divisors (see below), whose sum is σ = 923920704. Its totient is φ = 64266240.

The previous prime is 265140461. The next prime is 265140487. The reversal of 265140480 is 84041562.

265140480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (265140487) 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, 39102 + ... + 45378.

It is an arithmetic number, because the mean of its divisors is an integer number (6416116).

Almost surely, 2265140480 is an apocalyptic number.

265140480 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 265140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461960352).

265140480 is an abundant number, since it is smaller than the sum of its proper divisors (658780224).

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

265140480 is a wasteful number, since it uses less digits than its factorization.

265140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 265140480 is about 16283.1348333176. The cubic root of 265140480 is about 642.4293088409.

The spelling of 265140480 in words is "two hundred sixty-five million, one hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 6277 7040 8448 10560 12554 14080 18831 21120 25108 31385 37662 42240 50216 62770 69047 75324 94155 100432 125540 138094 150648 188310 200864 207141 251080 276188 301296 345235 376620 401728 414282 502160 552376 602592 690470 753240 803456 828564 1004320 1035705 1104752 1205184 1380940 1506480 1606912 1657128 2008640 2071410 2209504 2410368 2761880 3012960 3314256 4017280 4142820 4419008 4820736 5523760 6025920 6628512 8034560 8285640 8838016 11047520 12051840 13257024 16571280 17676032 22095040 24103680 26514048 33142560 44190080 53028096 66285120 88380160 132570240 265140480