Search a number
-
+
76869036 = 2232172343127
BaseRepresentation
bin1001001010011…
…10110110101100
312100122100111100
410211032312230
5124134302121
611343323100
71622242656
oct445166654
9170570440
1076869036
113a432932
12218b0490
1312c0524a
14a2cd6d6
156b36026
hex494edac

76869036 has 144 divisors (see below), whose sum is σ = 221405184. Its totient is φ = 22353408.

The previous prime is 76868999. The next prime is 76869049. The reversal of 76869036 is 63096867.

It is a junction number, because it is equal to n+sod(n) for n = 76868982 and 76869000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605205 + ... + 605331.

It is an arithmetic number, because the mean of its divisors is an integer number (1537536).

Almost surely, 276869036 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 76869036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592).

76869036 is an abundant number, since it is smaller than the sum of its proper divisors (144536148).

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

76869036 is a wasteful number, since it uses less digits than its factorization.

76869036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 76869036 is about 8767.4988451667. The cubic root of 76869036 is about 425.1907535866.

The spelling of 76869036 in words is "seventy-six million, eight hundred sixty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 43 46 51 68 69 86 92 102 127 129 138 153 172 204 207 254 258 276 306 381 387 391 414 508 516 612 731 762 774 782 828 989 1143 1173 1462 1524 1548 1564 1978 2159 2193 2286 2346 2921 2924 2967 3519 3956 4318 4386 4572 4692 5461 5842 5934 6477 6579 7038 8636 8763 8772 8901 10922 11684 11868 12954 13158 14076 16383 16813 17526 17802 19431 21844 25908 26289 26316 32766 33626 35052 35604 38862 49149 49657 50439 52578 65532 67252 77724 92837 98298 99314 100878 105156 125603 148971 151317 185674 196596 198628 201756 251206 278511 297942 302634 371348 376809 446913 502412 557022 595884 605268 753618 835533 893826 1114044 1130427 1507236 1671066 1787652 2135251 2260854 3342132 4270502 4521708 6405753 8541004 12811506 19217259 25623012 38434518 76869036