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869066240 = 295748497
BaseRepresentation
bin110011110011001…
…110011000000000
32020120022010202112
4303303032120000
53234440104430
6222123034452
730351640550
oct6363163000
92216263675
10869066240
11406624369
1220306ba28
1310b0856a3
14835c7160
155146b195
hex33cce600

869066240 has 80 divisors (see below), whose sum is σ = 2381445792. Its totient is φ = 297959424.

The previous prime is 869066239. The next prime is 869066243. The reversal of 869066240 is 42660968.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8690662402 = 1510552259015475200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869066243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6329 + ... + 42168.

Almost surely, 2869066240 is an apocalyptic number.

869066240 is a gapful number since it is divisible by the number (80) 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 869066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190722896).

869066240 is an abundant number, since it is smaller than the sum of its proper divisors (1512379552).

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

869066240 is an equidigital number, since it uses as much as digits as its factorization.

869066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48527 (or 48511 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 869066240 is about 29479.9294436062. The cubic root of 869066240 is about 954.2986142307.

The spelling of 869066240 in words is "eight hundred sixty-nine million, sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 48497 96994 193988 242485 339479 387976 484970 678958 775952 969940 1357916 1551904 1697395 1939880 2715832 3103808 3394790 3879760 5431664 6207616 6789580 7759520 10863328 12415232 13579160 15519040 21726656 24830464 27158320 31038080 43453312 54316640 62076160 86906624 108633280 124152320 173813248 217266560 434533120 869066240