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1014343120 = 245721913619
BaseRepresentation
bin111100011101011…
…010010111010000
32121200122222011201
4330131122113100
54034132434440
6244352520544
734064526400
oct7435322720
92550588151
101014343120
1148062aaaa
12243850154
131321bc83b
1498a02800
155e0b619a
hex3c75a5d0

1014343120 has 120 divisors (see below), whose sum is σ = 2887984800. Its totient is φ = 329446656.

The previous prime is 1014343117. The next prime is 1014343129. The reversal of 1014343120 is 213434101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014343129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67671 + ... + 81289.

It is an arithmetic number, because the mean of its divisors is an integer number (24066540).

Almost surely, 21014343120 is an apocalyptic number.

1014343120 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 1014343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443992400).

1014343120 is an abundant number, since it is smaller than the sum of its proper divisors (1873641680).

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

1014343120 is a wasteful number, since it uses less digits than its factorization.

1014343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13665 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1014343120 is about 31848.7538217746. The cubic root of 1014343120 is about 1004.7583620774.

Adding to 1014343120 its reverse (213434101), we get a palindrome (1227777221).

The spelling of 1014343120 in words is "one billion, fourteen million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 190 196 245 266 280 304 380 392 490 532 560 665 760 784 931 980 1064 1330 1520 1862 1960 2128 2660 3724 3920 4655 5320 7448 9310 10640 13619 14896 18620 27238 37240 54476 68095 74480 95333 108952 136190 190666 217904 258761 272380 381332 476665 517522 544760 667331 762664 953330 1035044 1089520 1293805 1334662 1525328 1811327 1906660 2070088 2587610 2669324 3336655 3622654 3813320 4140176 5175220 5338648 6673310 7245308 7626640 9056635 10350440 10677296 12679289 13346620 14490616 18113270 20700880 25358578 26693240 28981232 36226540 50717156 53386480 63396445 72453080 101434312 126792890 144906160 202868624 253585780 507171560 1014343120