Search a number
-
+
108249064 = 237111710337
BaseRepresentation
bin1100111001110…
…11111111101000
321112200121210121
412130323333220
5210202432224
614424053024
72453046640
oct634737750
9245617717
10108249064
1156116140
1230304174
1319571401
141053b520
159783be4
hex673bfe8

108249064 has 64 divisors (see below), whose sum is σ = 267960960. Its totient is φ = 39690240.

The previous prime is 108249049. The next prime is 108249067. The reversal of 108249064 is 460942801.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (108249067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5304 + ... + 15640.

It is an arithmetic number, because the mean of its divisors is an integer number (4186890).

Almost surely, 2108249064 is an apocalyptic number.

108249064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108249064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133980480).

108249064 is an abundant number, since it is smaller than the sum of its proper divisors (159711896).

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

108249064 is a wasteful number, since it uses less digits than its factorization.

108249064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10378 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 108249064 is about 10404.2810419558. The cubic root of 108249064 is about 476.5861127399.

The spelling of 108249064 in words is "one hundred eight million, two hundred forty-nine thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 10337 10472 20674 41348 72359 82696 113707 144718 175729 227414 289436 351458 454828 578872 702916 795949 909656 1230103 1405832 1591898 1933019 2460206 3183796 3866038 4920412 6367592 7732076 9840824 13531133 15464152 27062266 54124532 108249064