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10030592 = 291113137
BaseRepresentation
bin100110010000…
…111000000000
3200212121101102
4212100320000
510031434332
6554553532
7151154465
oct46207000
920777342
1010030592
115731150
1234388a8
132102780
14149166c
15d32062
hex990e00

10030592 has 80 divisors (see below), whose sum is σ = 23717232. Its totient is φ = 4177920.

The previous prime is 10030583. The next prime is 10030597. The reversal of 10030592 is 29503001.

It is a super-2 number, since 2×100305922 = 201225551740928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73148 + ... + 73284.

Almost surely, 210030592 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 10030592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11858616).

10030592 is an abundant number, since it is smaller than the sum of its proper divisors (13686640).

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

10030592 is a wasteful number, since it uses less digits than its factorization.

10030592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 10030592 is about 3167.1109863723. The cubic root of 10030592 is about 215.6629402398.

Adding to 10030592 its reverse (29503001), we get a palindrome (39533593).

The spelling of 10030592 in words is "ten million, thirty thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 137 143 176 208 256 274 286 352 416 512 548 572 704 832 1096 1144 1408 1507 1664 1781 2192 2288 2816 3014 3328 3562 4384 4576 5632 6028 6656 7124 8768 9152 12056 14248 17536 18304 19591 24112 28496 35072 36608 39182 48224 56992 70144 73216 78364 96448 113984 156728 192896 227968 313456 385792 455936 626912 771584 911872 1253824 2507648 5015296 10030592