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1120225120 = 25572343487
BaseRepresentation
bin100001011000101…
…0100011101100000
32220001220022222021
41002301110131200
54243234200440
6303054151224
736521520310
oct10261243540
92801808867
101120225120
11525379793
122731b2514
1314b112701
14a8ac5440
156852d84a
hex42c54760

1120225120 has 96 divisors (see below), whose sum is σ = 3156185088. Its totient is φ = 367369728.

The previous prime is 1120225091. The next prime is 1120225151. The reversal of 1120225120 is 215220211.

It is a happy number.

1120225120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1120225094 and 1120225103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4017 + ... + 47503.

It is an arithmetic number, because the mean of its divisors is an integer number (32876928).

Almost surely, 21120225120 is an apocalyptic number.

1120225120 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 1120225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578092544).

1120225120 is an abundant number, since it is smaller than the sum of its proper divisors (2035959968).

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

1120225120 is a wasteful number, since it uses less digits than its factorization.

1120225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43532 (or 43524 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1120225120 is about 33469.7642656772. The cubic root of 1120225120 is about 1038.5683951299.

Adding to 1120225120 its reverse (215220211), we get a palindrome (1335445331).

The spelling of 1120225120 in words is "one billion, one hundred twenty million, two hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 25760 43487 86974 173948 217435 304409 347896 434870 608818 695792 869740 1000201 1217636 1391584 1522045 1739480 2000402 2435272 3044090 3478960 4000804 4870544 5001005 6088180 6957920 7001407 8001608 9741088 10002010 12176360 14002814 16003216 20004020 24352720 28005628 32006432 35007035 40008040 48705440 56011256 70014070 80016080 112022512 140028140 160032160 224045024 280056280 560112560 1120225120