Search a number
-
+
83109078 = 23413193167
BaseRepresentation
bin1001111010000…
…10010011010110
312210101101020000
410331002103112
5132233442303
612125152130
72026262343
oct475022326
9183341200
1083109078
1142a05098
12239bb646
13142ab590
14b0757ca
157469da3
hex4f424d6

83109078 has 160 divisors (see below), whose sum is σ = 221168640. Its totient is φ = 23094720.

The previous prime is 83109043. The next prime is 83109079. The reversal of 83109078 is 87090138.

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 (83109079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1240401 + ... + 1240467.

It is an arithmetic number, because the mean of its divisors is an integer number (1382304).

Almost surely, 283109078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83109078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110584320).

83109078 is an abundant number, since it is smaller than the sum of its proper divisors (138059562).

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

83109078 is a wasteful number, since it uses less digits than its factorization.

83109078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 83109078 is about 9116.4180465795. The cubic root of 83109078 is about 436.3980702231.

The spelling of 83109078 in words is "eighty-three million, one hundred nine thousand, seventy-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 31 38 39 54 57 62 67 78 81 93 114 117 134 162 171 186 201 234 247 279 342 351 402 403 494 513 558 589 603 702 741 806 837 871 1026 1053 1178 1206 1209 1273 1482 1539 1674 1742 1767 1809 2077 2106 2223 2418 2511 2546 2613 3078 3534 3618 3627 3819 4154 4446 5022 5226 5301 5427 6231 6669 7254 7638 7657 7839 10602 10854 10881 11457 12462 13338 15314 15678 15903 16549 18693 20007 21762 22914 22971 23517 27001 31806 32643 33098 34371 37386 39463 40014 45942 47034 47709 49647 54002 56079 65286 68742 68913 70551 78926 81003 95418 99294 103113 112158 118389 137826 141102 148941 162006 168237 206226 206739 236778 243009 297882 336474 355167 413478 446823 486018 513019 620217 710334 729027 893646 1026038 1065501 1240434 1340469 1458054 1539057 2131002 2187081 2680938 3078114 3196503 4374162 4617171 6393006 9234342 13851513 27703026 41554539 83109078