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1107384372 = 223419296203
BaseRepresentation
bin100001000000001…
…0101100000110100
32212011201221210000
41002000111200310
54231442244442
6301515031300
736304416603
oct10200254064
92764657700
101107384372
115190a92a6
1226aa3b530
13148567b33
14a7101a3a
1567343d4c
hex42015834

1107384372 has 120 divisors (see below), whose sum is σ = 3152872800. Its totient is φ = 337587264.

The previous prime is 1107384371. The next prime is 1107384379. The reversal of 1107384372 is 2734837011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107384371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 175423 + ... + 181625.

It is an arithmetic number, because the mean of its divisors is an integer number (26273940).

Almost surely, 21107384372 is an apocalyptic number.

1107384372 is a gapful number since it is divisible by the number (12) 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 1107384372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576436400).

1107384372 is an abundant number, since it is smaller than the sum of its proper divisors (2045488428).

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

1107384372 is a wasteful number, since it uses less digits than its factorization.

1107384372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1107384372 is about 33277.3852939200. The cubic root of 1107384372 is about 1034.5848870909.

The spelling of 1107384372 in words is "one billion, one hundred seven million, three hundred eighty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 81 87 108 114 116 162 171 174 228 261 324 342 348 513 522 551 684 783 1026 1044 1102 1539 1566 1653 2052 2204 2349 3078 3132 3306 4698 4959 6156 6203 6612 9396 9918 12406 14877 18609 19836 24812 29754 37218 44631 55827 59508 74436 89262 111654 117857 167481 178524 179887 223308 235714 334962 353571 359774 471428 502443 539661 669924 707142 719548 1004886 1060713 1079322 1414284 1618983 2009772 2121426 2158644 3182139 3237966 3417853 4242852 4856949 6364278 6475932 6835706 9546417 9713898 10253559 12728556 13671412 14570847 19092834 19427796 20507118 29141694 30760677 38185668 41014236 58283388 61521354 92282031 123042708 184564062 276846093 369128124 553692186 1107384372