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1069041312 = 253214832503
BaseRepresentation
bin111111101110000…
…100011010100000
32202111120220222200
4333232010122200
54142133310222
6254025133200
735330462343
oct7756043240
92674526880
101069041312
114a949a619
1225a02a200
13140631531
14a1da045a
1563cbceac
hex3fb846a0

1069041312 has 72 divisors (see below), whose sum is σ = 3043351584. Its totient is φ = 355964544.

The previous prime is 1069041307. The next prime is 1069041313. The reversal of 1069041312 is 2131409601.

1069041312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10690413122 = 2285698653525362688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1069041313) 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, 425853 + ... + 428355.

It is an arithmetic number, because the mean of its divisors is an integer number (42268772).

Almost surely, 21069041312 is an apocalyptic number.

1069041312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1069041312 is an abundant number, since it is smaller than the sum of its proper divisors (1974310272).

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

1069041312 is a wasteful number, since it uses less digits than its factorization.

1069041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1069041312 is about 32696.1972100732. The cubic root of 1069041312 is about 1022.5035616991.

The spelling of 1069041312 in words is "one billion, sixty-nine million, forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1483 2503 2966 4449 5006 5932 7509 8898 10012 11864 13347 15018 17796 20024 22527 23728 26694 30036 35592 40048 45054 47456 53388 60072 71184 80096 90108 106776 120144 142368 180216 213552 240288 360432 427104 720864 3711949 7423898 11135847 14847796 22271694 29695592 33407541 44543388 59391184 66815082 89086776 118782368 133630164 178173552 267260328 356347104 534520656 1069041312