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10134784 = 28115961
BaseRepresentation
bin100110101010…
…010100000000
3201001220022101
4212222110000
510043303114
61001120144
7152100322
oct46522400
921056271
1010134784
1157a2460
123489054
13213b01a
1414bb612
15d52d74
hex9aa500

10134784 has 72 divisors (see below), whose sum is σ = 22811040. Its totient is φ = 4454400.

The previous prime is 10134779. The next prime is 10134791. The reversal of 10134784 is 48743101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166114 + ... + 166174.

It is an arithmetic number, because the mean of its divisors is an integer number (316820).

Almost surely, 210134784 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 10134784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405520).

10134784 is an abundant number, since it is smaller than the sum of its proper divisors (12676256).

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

10134784 is an equidigital number, since it uses as much as digits as its factorization.

10134784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10134784 is about 3183.5175513887. The cubic root of 10134784 is about 216.4070969140.

Adding to 10134784 its reverse (48743101), we get a palindrome (58877885).

The spelling of 10134784 in words is "ten million, one hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 61 64 88 118 122 128 176 236 244 256 352 472 488 649 671 704 944 976 1298 1342 1408 1888 1952 2596 2684 2816 3599 3776 3904 5192 5368 7198 7552 7808 10384 10736 14396 15104 15616 20768 21472 28792 39589 41536 42944 57584 79178 83072 85888 115168 158356 166144 171776 230336 316712 460672 633424 921344 1266848 2533696 5067392 10134784