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76693230 = 235537853
BaseRepresentation
bin1001001001000…
…11111011101110
312100022102100000
410210203323232
5124113140410
611335445130
71620611265
oct444437356
9170272300
1076693230
113a322839
12218267a6
1312b73213
14a2855dc
156aeddc0
hex4923eee

76693230 has 96 divisors (see below), whose sum is σ = 212625504. Its totient is φ = 19875456.

The previous prime is 76693223. The next prime is 76693231. The reversal of 76693230 is 3239667.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76693231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89484 + ... + 90336.

It is an arithmetic number, because the mean of its divisors is an integer number (2214849).

Almost surely, 276693230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76693230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106312752).

76693230 is an abundant number, since it is smaller than the sum of its proper divisors (135932274).

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

76693230 is a wasteful number, since it uses less digits than its factorization.

76693230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 76693230 is about 8757.4670995671. The cubic root of 76693230 is about 424.8663570571.

The spelling of 76693230 in words is "seventy-six million, six hundred ninety-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 810 853 999 1110 1215 1665 1706 1998 2430 2559 2997 3330 4265 4995 5118 5994 7677 8530 8991 9990 12795 14985 15354 17982 23031 25590 29970 31561 38385 44955 46062 63122 69093 76770 89910 94683 115155 138186 157805 189366 207279 230310 284049 315610 345465 414558 473415 568098 690930 852147 946830 1036395 1420245 1704294 2072790 2556441 2840490 4260735 5112882 7669323 8521470 12782205 15338646 25564410 38346615 76693230