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2520000252 = 2232711909091
BaseRepresentation
bin1001011000110100…
…0010011011111100
320111121211021110200
42112031002123330
520130110002002
61054020203500
7116306435340
oct22615023374
96447737420
102520000252
111083524540
125a3b39590
13312112a13
1419c979620
15eb37bb1c
hex963426fc

2520000252 has 72 divisors (see below), whose sum is σ = 7941827712. Its totient is φ = 654544800.

The previous prime is 2520000187. The next prime is 2520000257.

2520000252 is nontrivially palindromic in base 10.

2520000252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520000257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451774 + ... + 457317.

Almost surely, 22520000252 is an apocalyptic number.

2520000252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2520000252 is an abundant number, since it is smaller than the sum of its proper divisors (5421827460).

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

2520000252 is a wasteful number, since it uses less digits than its factorization.

2520000252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909119 (or 909114 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2520000252 is about 50199.6041020245. The cubic root of 2520000252 is about 1360.8184685513.

It can be divided in two parts, 2520000 and 252, that multiplied together give a square (635040000 = 252002).

The spelling of 2520000252 in words is "two billion, five hundred twenty million, two hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 909091 1818182 2727273 3636364 5454546 6363637 8181819 10000001 10909092 12727274 16363638 19090911 20000002 25454548 30000003 32727276 38181822 40000004 57272733 60000006 70000007 76363644 90000009 114545466 120000012 140000014 180000018 210000021 229090932 280000028 360000036 420000042 630000063 840000084 1260000126 2520000252