Search a number
-
+
108014004 = 22327716037
BaseRepresentation
bin1100111000000…
…10100110110100
321112020200100200
412130002212310
5210122422004
614415040500
72451050430
oct634024664
9245220320
10108014004
1155a7557a
1230210130
13194bb417
14104b99c0
159739239
hex67029b4

108014004 has 72 divisors (see below), whose sum is σ = 316487808. Its totient is φ = 30421440.

The previous prime is 108013999. The next prime is 108014017. The reversal of 108014004 is 400410801.

It is a super-2 number, since 2×1080140042 = 23334050120224032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14874 + ... + 20910.

It is an arithmetic number, because the mean of its divisors is an integer number (4395664).

Almost surely, 2108014004 is an apocalyptic number.

108014004 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 108014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158243904).

108014004 is an abundant number, since it is smaller than the sum of its proper divisors (208473804).

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

108014004 is a wasteful number, since it uses less digits than its factorization.

108014004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 108014004 is about 10392.9785913375. The cubic root of 108014004 is about 476.2408980012.

Adding to 108014004 its reverse (400410801), we get a palindrome (508424805).

The spelling of 108014004 in words is "one hundred eight million, fourteen thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 6037 8946 12074 17892 18111 24148 36222 42259 54333 72444 84518 108666 126777 169036 217332 253554 380331 428627 507108 760662 857254 1285881 1521324 1714508 2571762 3000389 3857643 5143524 6000778 7715286 9001167 12001556 15430572 18002334 27003501 36004668 54007002 108014004