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4261440 = 263523193
BaseRepresentation
bin10000010000011001000000
322000111121010
4100100121000
52042331230
6231200520
751136011
oct20203100
98014533
104261440
112450757
121516140
13b62881
147cd008
155929b0
hex410640

4261440 has 112 divisors (see below), whose sum is σ = 14191488. Its totient is φ = 1081344.

The previous prime is 4261423. The next prime is 4261483. The reversal of 4261440 is 441624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21984 + ... + 22176.

Almost surely, 24261440 is an apocalyptic number.

4261440 is a gapful number since it is divisible by the number (40) 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 4261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095744).

4261440 is an abundant number, since it is smaller than the sum of its proper divisors (9930048).

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

4261440 is a wasteful number, since it uses less digits than its factorization.

4261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4261440 is about 2064.3255557203. The cubic root of 4261440 is about 162.1257977319.

The spelling of 4261440 in words is "four million, two hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 193 230 240 276 320 345 368 386 460 480 552 579 690 736 772 920 960 965 1104 1158 1380 1472 1544 1840 1930 2208 2316 2760 2895 3088 3680 3860 4416 4439 4632 5520 5790 6176 7360 7720 8878 9264 11040 11580 12352 13317 15440 17756 18528 22080 22195 23160 26634 30880 35512 37056 44390 46320 53268 61760 66585 71024 88780 92640 106536 133170 142048 177560 185280 213072 266340 284096 355120 426144 532680 710240 852288 1065360 1420480 2130720 4261440