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2053331532 = 223572313121
BaseRepresentation
bin111101001100011…
…0101101001001100
312022002201001100000
41322120311221030
513201123102112
6535430004300
7101612013210
oct17230655114
95262631300
102053331532
1196406340a
124937a6690
1326952ac95
141569bc940
15c03e97dc
hex7a635a4c

2053331532 has 144 divisors (see below), whose sum is σ = 6419492352. Its totient is φ = 561116160.

The previous prime is 2053331521. The next prime is 2053331543. The reversal of 2053331532 is 2351333502.

It is an interprime number because it is at equal distance from previous prime (2053331521) and next prime (2053331543).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2053331496 and 2053331505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149932 + ... + 163052.

It is an arithmetic number, because the mean of its divisors is an integer number (44579808).

Almost surely, 22053331532 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 2053331532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209746176).

2053331532 is an abundant number, since it is smaller than the sum of its proper divisors (4366160820).

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

2053331532 is a wasteful number, since it uses less digits than its factorization.

2053331532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13170 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 2053331532 is about 45313.7013716602. The cubic root of 2053331532 is about 1271.0218762091.

The spelling of 2053331532 in words is "two billion, fifty-three million, three hundred thirty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 243 252 276 322 324 378 414 483 486 567 621 644 756 828 966 972 1134 1242 1449 1701 1863 1932 2268 2484 2898 3402 3726 4347 5589 5796 6804 7452 8694 11178 13041 13121 17388 22356 26082 26242 39123 39363 52164 52484 78246 78726 91847 118089 156492 157452 183694 236178 275541 301783 354267 367388 472356 551082 603566 708534 826623 905349 1062801 1102164 1207132 1417068 1653246 1810698 2112481 2125602 2479869 2716047 3188403 3306492 3621396 4224962 4251204 4959738 5432094 6337443 6376806 7439607 8148141 8449924 9919476 10864188 12674886 12753612 14879214 16296282 19012329 22318821 24444423 25349772 29758428 32592564 38024658 44637642 48888846 57036987 73333269 76049316 89275284 97777692 114073974 146666538 171110961 228147948 293333076 342221922 513332883 684443844 1026665766 2053331532