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4125520 = 245753139
BaseRepresentation
bin1111101111001101010000
321202121011001
433233031100
52024004040
6224231344
750031520
oct17571520
97677131
104125520
112368623
12146b554
13b15a49
14795680
1556759a
hex3ef350

4125520 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1377792.

The previous prime is 4125497. The next prime is 4125521. The reversal of 4125520 is 255214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125521) by changing a digit.

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, 29611 + ... + 29749.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 24125520 is an apocalyptic number.

4125520 is a gapful number since it is divisible by the number (40) 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 4125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4125520 is an abundant number, since it is smaller than the sum of its proper divisors (7123760).

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

4125520 is a wasteful number, since it uses less digits than its factorization.

4125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 4125520 is about 2031.1376122754. The cubic root of 4125520 is about 160.3834552787.

The spelling of 4125520 in words is "four million, one hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 139 140 212 265 278 280 371 424 530 556 560 695 742 848 973 1060 1112 1390 1484 1855 1946 2120 2224 2780 2968 3710 3892 4240 4865 5560 5936 7367 7420 7784 9730 11120 14734 14840 15568 19460 29468 29680 36835 38920 51569 58936 73670 77840 103138 117872 147340 206276 257845 294680 412552 515690 589360 825104 1031380 2062760 4125520