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1000029372 = 2233113120521
BaseRepresentation
bin111011100110110…
…011110010111100
32120200201202101220
4323212303302330
54022001414442
6243122033340
733532052346
oct7346636274
92520652356
101000029372
11473543961
1223aaa8850
1312c24a674
1496b58296
155cbd9eec
hex3b9b3cbc

1000029372 has 48 divisors (see below), whose sum is σ = 2427177984. Its totient is φ = 320112000.

The previous prime is 1000029367. The next prime is 1000029379. The reversal of 1000029372 is 2739200001.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000029379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38472 + ... + 58992.

It is an arithmetic number, because the mean of its divisors is an integer number (50566208).

Almost surely, 21000029372 is an apocalyptic number.

1000029372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000029372 is an abundant number, since it is smaller than the sum of its proper divisors (1427148612).

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

1000029372 is a wasteful number, since it uses less digits than its factorization.

1000029372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20690 (or 20688 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1000029372 is about 31623.2410103708. The cubic root of 1000029372 is about 1000.0097905708.

Adding to 1000029372 its reverse (2739200001), we get a palindrome (3739229373).

The spelling of 1000029372 in words is "one billion, twenty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 131 186 262 372 393 524 786 1572 4061 8122 12183 16244 20521 24366 41042 48732 61563 82084 123126 246252 636151 1272302 1908453 2544604 2688251 3816906 5376502 7633812 8064753 10753004 16129506 32259012 83335781 166671562 250007343 333343124 500014686 1000029372