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1060114000 = 24531148187
BaseRepresentation
bin111111001100000…
…000111001010000
32201212210101000111
4333030000321100
54132342122000
6253105531104
735161551241
oct7714007120
92655711014
101060114000
114a4452380
12257043a94
1313b826cba
14a0b18cc8
1563107cba
hex3f300e50

1060114000 has 80 divisors (see below), whose sum is σ = 2796446016. Its totient is φ = 385488000.

The previous prime is 1060113997. The next prime is 1060114039. The reversal of 1060114000 is 4110601.

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

It is a super-2 number, since 2×10601140002 = 2247683385992000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2094 + ... + 46093.

Almost surely, 21060114000 is an apocalyptic number.

1060114000 is a gapful number since it is divisible by the number (10) 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 1060114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398223008).

1060114000 is an abundant number, since it is smaller than the sum of its proper divisors (1736332016).

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

1060114000 is a wasteful number, since it uses less digits than its factorization.

1060114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48221 (or 48205 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1060114000 is about 32559.3918862131. The cubic root of 1060114000 is about 1019.6493732697.

Adding to 1060114000 its reverse (4110601), we get a palindrome (1064224601).

It can be divided in two parts, 106011 and 4000, that added together give a palindrome (110011).

The spelling of 1060114000 in words is "one billion, sixty million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 48187 96374 192748 240935 385496 481870 530057 770992 963740 1060114 1204675 1927480 2120228 2409350 2650285 3854960 4240456 4818700 5300570 6023375 8480912 9637400 10601140 12046750 13251425 19274800 21202280 24093500 26502850 42404560 48187000 53005700 66257125 96374000 106011400 132514250 212022800 265028500 530057000 1060114000