Search a number
-
+
96703776 = 253213231123
BaseRepresentation
bin1011100001110…
…01010100100000
320201222001122100
411300321110200
5144224010101
613332410400
72252653131
oct560712440
9221861570
1096703776
114a64aa84
1228476a00
131705b390
14cbb3c88
158752e86
hex5c39520

96703776 has 144 divisors (see below), whose sum is σ = 309306816. Its totient is φ = 28435968.

The previous prime is 96703759. The next prime is 96703781. The reversal of 96703776 is 67730769.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 85551 + ... + 86673.

It is an arithmetic number, because the mean of its divisors is an integer number (2147964).

Almost surely, 296703776 is an apocalyptic number.

96703776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96703776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154653408).

96703776 is an abundant number, since it is smaller than the sum of its proper divisors (212603040).

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

96703776 is a wasteful number, since it uses less digits than its factorization.

96703776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 96703776 is about 9833.8078077620. The cubic root of 96703776 is about 459.0018938507.

It can be divided in two parts, 96703 and 776, that added together give a palindrome (97479).

The spelling of 96703776 in words is "ninety-six million, seven hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1123 1196 1248 1656 1794 1872 2208 2246 2392 2691 3312 3369 3588 3744 4492 4784 5382 6624 6738 7176 8984 9568 10107 10764 13476 14352 14599 17968 20214 21528 25829 26952 28704 29198 35936 40428 43056 43797 51658 53904 58396 77487 80856 86112 87594 103316 107808 116792 131391 154974 161712 175188 206632 232461 233584 262782 309948 323424 335777 350376 413264 464922 467168 525564 619896 671554 700752 826528 929844 1007331 1051128 1239792 1343108 1401504 1859688 2014662 2102256 2479584 2686216 3021993 3719376 4029324 4204512 5372432 6043986 7438752 8058648 10744864 12087972 16117296 24175944 32234592 48351888 96703776