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96812730 = 23257229757
BaseRepresentation
bin1011100010100…
…11111010111010
320202011121002200
411301103322322
5144241001410
613335011030
72253615600
oct561237272
9222147080
1096812730
114a714923
1228509a76
1317098b51
14cc01870
1587753c0
hex5c53eba

96812730 has 144 divisors (see below), whose sum is σ = 303306120. Its totient is φ = 21337344.

The previous prime is 96812717. The next prime is 96812731. The reversal of 96812730 is 3721869.

It can be written as a sum of positive squares in 4 ways, for example, as 82682649 + 14130081 = 9093^2 + 3759^2 .

It is not an unprimeable number, because it can be changed into a prime (96812731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127512 + ... + 128268.

Almost surely, 296812730 is an apocalyptic number.

96812730 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96812730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151653060).

96812730 is an abundant number, since it is smaller than the sum of its proper divisors (206493390).

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

96812730 is a wasteful number, since it uses less digits than its factorization.

96812730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 96812730 is about 9839.3460148528. The cubic root of 96812730 is about 459.1742115698.

The spelling of 96812730 in words is "ninety-six million, eight hundred twelve thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 49 58 63 70 87 90 98 105 126 145 147 174 203 210 245 261 290 294 315 406 435 441 490 522 609 630 735 757 870 882 1015 1218 1305 1421 1470 1514 1827 2030 2205 2271 2610 2842 3045 3654 3785 4263 4410 4542 5299 6090 6813 7105 7570 8526 9135 10598 11355 12789 13626 14210 15897 18270 21315 21953 22710 25578 26495 31794 34065 37093 42630 43906 47691 52990 63945 65859 68130 74186 79485 95382 109765 111279 127890 131718 153671 158970 185465 197577 219530 222558 238455 307342 329295 333837 370930 395154 461013 476910 556395 658590 667674 768355 922026 987885 1075697 1112790 1383039 1536710 1669185 1975770 2151394 2305065 2766078 3227091 3338370 4610130 5378485 6454182 6915195 9681273 10756970 13830390 16135455 19362546 32270910 48406365 96812730