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4026880 = 29511213
BaseRepresentation
bin1111010111001000000000
321120120211201
433113020000
52012330010
6222150544
746141114
oct17271000
97516751
104026880
112300500
121422454
13aacb90
1476b744
1554823a
hex3d7200

4026880 has 120 divisors (see below), whose sum is σ = 11428956. Its totient is φ = 1351680.

The previous prime is 4026859. The next prime is 4026889. The reversal of 4026880 is 886204.

4026880 = T319 + T320 + ... + T383.

It can be written as a sum of positive squares in 2 ways, for example, as 3748096 + 278784 = 1936^2 + 528^2 .

It is not an unprimeable number, because it can be changed into a prime (4026889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309754 + ... + 309766.

Almost surely, 24026880 is an apocalyptic number.

4026880 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 4026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714478).

4026880 is an abundant number, since it is smaller than the sum of its proper divisors (7402076).

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

4026880 is a wasteful number, since it uses less digits than its factorization.

4026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4026880 is about 2006.7087481745. The cubic root of 4026880 is about 159.0948894984.

The spelling of 4026880 in words is "four million, twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 121 128 130 143 160 176 208 220 242 256 260 286 320 352 416 440 484 512 520 572 605 640 704 715 832 880 968 1040 1144 1210 1280 1408 1430 1573 1664 1760 1936 2080 2288 2420 2560 2816 2860 3146 3328 3520 3872 4160 4576 4840 5632 5720 6292 6656 7040 7744 7865 8320 9152 9680 11440 12584 14080 15488 15730 16640 18304 19360 22880 25168 28160 30976 31460 33280 36608 38720 45760 50336 61952 62920 73216 77440 91520 100672 125840 154880 183040 201344 251680 309760 366080 402688 503360 805376 1006720 2013440 4026880