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1000052320 = 25541157971
BaseRepresentation
bin111011100110111…
…001011001100000
32120200202220212211
4323212321121200
54022003133240
6243122331504
733532206301
oct7346713140
92520686784
101000052320
1147355a123
1223aab9b94
1312c257c47
1496b627a8
155cbe1bea
hex3b9b9660

1000052320 has 96 divisors (see below), whose sum is σ = 2438172576. Its totient is φ = 387379200.

The previous prime is 1000052293. The next prime is 1000052321. The reversal of 1000052320 is 232500001.

It is a self number, because there is not a number n which added to its sum of digits gives 1000052320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000052321) 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, 1029435 + ... + 1030405.

It is an arithmetic number, because the mean of its divisors is an integer number (25397631).

Almost surely, 21000052320 is an apocalyptic number.

1000052320 is a gapful number since it is divisible by the number (10) 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 1000052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219086288).

1000052320 is an abundant number, since it is smaller than the sum of its proper divisors (1438120256).

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

1000052320 is a wasteful number, since it uses less digits than its factorization.

1000052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1000052320 is about 31623.6038426995. The cubic root of 1000052320 is about 1000.0174396959.

Adding to 1000052320 its reverse (232500001), we get a palindrome (1232552321).

The spelling of 1000052320 in words is "one billion, fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 157 160 164 205 314 328 410 628 656 785 820 971 1256 1312 1570 1640 1942 2512 3140 3280 3884 4855 5024 6280 6437 6560 7768 9710 12560 12874 15536 19420 25120 25748 31072 32185 38840 39811 51496 64370 77680 79622 102992 128740 152447 155360 159244 199055 205984 257480 304894 318488 398110 514960 609788 636976 762235 796220 1029920 1219576 1273952 1524470 1592440 2439152 3048940 3184880 4878304 6097880 6250327 6369760 12195760 12500654 24391520 25001308 31251635 50002616 62503270 100005232 125006540 200010464 250013080 500026160 1000052320