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107134552 = 23723223373
BaseRepresentation
bin1100110001010…
…11111001011000
321110120222222101
412120223321120
5204411301202
614344133144
72440425430
oct630537130
9243528871
10107134552
1155524858
122ba671b4
1319271035
141032b2c0
159613887
hex662be58

107134552 has 64 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 43604352.

The previous prime is 107134537. The next prime is 107134553. The reversal of 107134552 is 255431701.

It is a happy number.

It is a super-3 number, since 3×1071345523 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 107134552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107134553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287038 + ... + 287410.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2107134552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107134552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

107134552 is an abundant number, since it is smaller than the sum of its proper divisors (134140328).

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

107134552 is a wasteful number, since it uses less digits than its factorization.

107134552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 107134552 is about 10350.5822058472. The cubic root of 107134552 is about 474.9448534316.

The spelling of 107134552 in words is "one hundred seven million, one hundred thirty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 223 322 373 446 644 746 892 1288 1492 1561 1784 2611 2984 3122 5129 5222 6244 8579 10258 10444 12488 17158 20516 20888 34316 35903 41032 60053 68632 71806 83179 120106 143612 166358 240212 287224 332716 480424 582253 665432 1164506 1913117 2329012 3826234 4658024 7652468 13391819 15304936 26783638 53567276 107134552