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3125520 = 243351447
BaseRepresentation
bin1011111011000100010000
312212210102000
423323010100
51300004040
6150554000
735365206
oct13730420
95783360
103125520
111845282
121068900
13855828
145b5076
1541b130
hex2fb110

3125520 has 80 divisors (see below), whose sum is σ = 10773120. Its totient is φ = 832896.

The previous prime is 3125503. The next prime is 3125527. The reversal of 3125520 is 255213.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3125493 and 3125502.

It is not an unprimeable number, because it can be changed into a prime (3125527) 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, 1437 + ... + 2883.

It is an arithmetic number, because the mean of its divisors is an integer number (134664).

Almost surely, 23125520 is an apocalyptic number.

3125520 is a gapful number since it is divisible by the number (30) 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 3125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386560).

3125520 is an abundant number, since it is smaller than the sum of its proper divisors (7647600).

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

3125520 is a wasteful number, since it uses less digits than its factorization.

3125520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3125520 is about 1767.9140250589. The cubic root of 3125520 is about 146.2089957368.

It can be divided in two parts, 312 and 5520, that added together give a cube (5832 = 183).

The spelling of 3125520 in words is "three million, one hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1447 2160 2894 4341 5788 7235 8682 11576 13023 14470 17364 21705 23152 26046 28940 34728 39069 43410 52092 57880 65115 69456 78138 86820 104184 115760 130230 156276 173640 195345 208368 260460 312552 347280 390690 520920 625104 781380 1041840 1562760 3125520