Search a number
-
+
106994888 = 237111331431
BaseRepresentation
bin1100110000010…
…01110011001000
321110022220101122
412120021303020
5204342314023
614341134412
72436304310
oct630116310
9243286348
10106994888
1155439930
122b9ba408
13192225b0
14102d2440
1595d72c8
hex6609cc8

106994888 has 128 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 37152000.

The previous prime is 106994843. The next prime is 106994893. The reversal of 106994888 is 888499601.

It is a super-2 number, since 2×1069948882 = 22895812116265088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248033 + ... + 248463.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2106994888 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 106994888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

106994888 is an abundant number, since it is smaller than the sum of its proper divisors (171696952).

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

106994888 is a wasteful number, since it uses less digits than its factorization.

106994888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 53.

The square root of 106994888 is about 10343.8333319906. The cubic root of 106994888 is about 474.7383792919.

The spelling of 106994888 in words is "one hundred six million, nine hundred ninety-four thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 124 143 154 182 217 248 286 308 341 364 403 431 434 572 616 682 728 806 862 868 1001 1144 1364 1612 1724 1736 2002 2387 2728 2821 3017 3224 3448 4004 4433 4741 4774 5603 5642 6034 8008 8866 9482 9548 11206 11284 12068 13361 17732 18964 19096 22412 22568 24136 26722 31031 33187 35464 37928 39221 44824 53444 61633 62062 66374 78442 93527 106888 123266 124124 132748 146971 156884 173693 187054 246532 248248 265496 293942 313768 347386 374108 431431 493064 587884 694772 748216 862862 1028797 1175768 1215851 1389544 1725724 1910623 2057594 2431702 3451448 3821246 4115188 4863404 7642492 8230376 9726808 13374361 15284984 26748722 53497444 106994888