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1013254528 = 271113197281
BaseRepresentation
bin111100011001010…
…000100110000000
32121121121122220111
4330121100212000
54033343121103
6244313321104
734052343556
oct7431204600
92547548814
101013254528
1147aa57140
12243406194
13131bcb1c0
14987dbbd6
155de4d86d
hex3c650980

1013254528 has 128 divisors (see below), whose sum is σ = 2392014240. Its totient is φ = 421478400.

The previous prime is 1013254513. The next prime is 1013254547. The reversal of 1013254528 is 8254523101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1013254528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3605748 + ... + 3606028.

Almost surely, 21013254528 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 1013254528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196007120).

1013254528 is an abundant number, since it is smaller than the sum of its proper divisors (1378759712).

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

1013254528 is a wasteful number, since it uses less digits than its factorization.

1013254528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 1013254528 is about 31831.6592090328. The cubic root of 1013254528 is about 1004.3987982030.

Adding to 1013254528 its reverse (8254523101), we get a palindrome (9267777629).

The spelling of 1013254528 in words is "one billion, thirteen million, two hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 197 208 281 286 352 394 416 562 572 704 788 832 1124 1144 1408 1576 1664 2167 2248 2288 2561 3091 3152 3653 4334 4496 4576 5122 6182 6304 7306 8668 8992 9152 10244 12364 12608 14612 17336 17984 18304 20488 24728 25216 28171 29224 34672 35968 40183 40976 49456 55357 56342 58448 69344 80366 81952 98912 110714 112684 116896 138688 160732 163904 197824 221428 225368 233792 277376 321464 327808 395648 442856 450736 467584 608927 642928 719641 885712 901472 1217854 1285856 1439282 1771424 1802944 2435708 2571712 2878564 3542848 3605888 4871416 5143424 5757128 7085696 7916051 9742832 11514256 15832102 19485664 23028512 31664204 38971328 46057024 63328408 77942656 92114048 126656816 253313632 506627264 1013254528