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1000500072 = 2331113291521
BaseRepresentation
bin111011101000100…
…110101101101000
32120201121200002020
4323220212231220
54022112000242
6243140104440
733536052555
oct7350465550
92521550066
101000500072
11473835570
1223b095120
1312c3839a0
1496c3ba2c
155cc7e6ec
hex3ba26b68

1000500072 has 64 divisors (see below), whose sum is σ = 2938541760. Its totient is φ = 279859200.

The previous prime is 1000500047. The next prime is 1000500077. The reversal of 1000500072 is 2700050001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1000500077) 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, 142329 + ... + 149192.

It is an arithmetic number, because the mean of its divisors is an integer number (45914715).

Almost surely, 21000500072 is an apocalyptic number.

1000500072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000500072 is an abundant number, since it is smaller than the sum of its proper divisors (1938041688).

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

1000500072 is a wasteful number, since it uses less digits than its factorization.

1000500072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291554 (or 291550 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1000500072 is about 31630.6824460049. The cubic root of 1000500072 is about 1000.1666628886.

Adding to 1000500072 its reverse (2700050001), we get a palindrome (3700550073).

The spelling of 1000500072 in words is "one billion, five hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 291521 583042 874563 1166084 1749126 2332168 3206731 3498252 3789773 6413462 6996504 7579546 9620193 11369319 12826924 15159092 19240386 22738638 25653848 30318184 38480772 41687503 45477276 76961544 83375006 90954552 125062509 166750012 250125018 333500024 500250036 1000500072