[go: up one dir, main page]

Search a number
-
+
86207976 = 2334173769
BaseRepresentation
bin1010010001101…
…10110111101000
320000012211010000
411020312313220
5134032123401
612315423000
72064520131
oct510666750
9200184100
1086207976
1144731368
1224a54a60
1314b24c4a
14b640c88
15787d186
hex5236de8

86207976 has 80 divisors (see below), whose sum is σ = 243173700. Its totient is φ = 28532736.

The previous prime is 86207971. The next prime is 86207977. The reversal of 86207976 is 67970268.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83283876 + 2924100 = 9126^2 + 1710^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86207971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111720 + ... + 112488.

Almost surely, 286207976 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 86207976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121586850).

86207976 is an abundant number, since it is smaller than the sum of its proper divisors (156965724).

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

86207976 is a wasteful number, since it uses less digits than its factorization.

86207976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 86207976 is about 9284.8250387393. The cubic root of 86207976 is about 441.7560265060.

The spelling of 86207976 in words is "eighty-six million, two hundred seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 173 216 324 346 519 648 692 769 1038 1384 1538 1557 2076 2307 3076 3114 4152 4614 4671 6152 6228 6921 9228 9342 12456 13842 14013 18456 18684 20763 27684 28026 37368 41526 55368 56052 62289 83052 112104 124578 133037 166104 249156 266074 399111 498312 532148 798222 1064296 1197333 1596444 2394666 3192888 3591999 4789332 7183998 9578664 10775997 14367996 21551994 28735992 43103988 86207976