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20072520 = 23325134289
BaseRepresentation
bin100110010010…
…0100001001000
31101202210022200
41030210201020
520114310040
61554120200
7332420316
oct114444110
941683280
1020072520
111036a866
126880060
13420a440
1429470b6
151b67630
hex1324848

20072520 has 96 divisors (see below), whose sum is σ = 70270200. Its totient is φ = 4939776.

The previous prime is 20072519. The next prime is 20072543. The reversal of 20072520 is 2527002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17189316 + 2883204 = 4146^2 + 1698^2 .

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 = 20072493 and 20072502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2536 + ... + 6824.

Almost surely, 220072520 is an apocalyptic number.

20072520 is a gapful number since it is divisible by the number (20) 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 20072520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35135100).

20072520 is an abundant number, since it is smaller than the sum of its proper divisors (50197680).

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

20072520 is a wasteful number, since it uses less digits than its factorization.

20072520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20072520 is about 4480.2366008951. The cubic root of 20072520 is about 271.7694485231.

Adding to 20072520 its reverse (2527002), we get a palindrome (22599522).

The spelling of 20072520 in words is "twenty million, seventy-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4289 4680 8578 12867 17156 21445 25734 34312 38601 42890 51468 55757 64335 77202 85780 102936 111514 128670 154404 167271 171560 193005 223028 257340 278785 308808 334542 386010 446056 501813 514680 557570 669084 772020 836355 1003626 1115140 1338168 1544040 1672710 2007252 2230280 2509065 3345420 4014504 5018130 6690840 10036260 20072520