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107048088 = 2333783853
BaseRepresentation
bin1100110000101…
…10110010011000
321110102121101000
412120112302120
5204401014323
614342225000
72436615360
oct630266230
9243377330
10107048088
11554758a4
122ba25160
1319240884
14103079a0
1595e7e43
hex6616c98

107048088 has 128 divisors (see below), whose sum is σ = 344332800. Its totient is φ = 30181248.

The previous prime is 107048069. The next prime is 107048119. The reversal of 107048088 is 880840701.

It is a super-2 number, since 2×1070480882 = 22918586288911488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125070 + ... + 125922.

It is an arithmetic number, because the mean of its divisors is an integer number (2690100).

Almost surely, 2107048088 is an apocalyptic number.

107048088 is a gapful number since it is divisible by the number (18) 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 107048088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172166400).

107048088 is an abundant number, since it is smaller than the sum of its proper divisors (237284712).

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

107048088 is a wasteful number, since it uses less digits than its factorization.

107048088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 107048088 is about 10346.4045929009. The cubic root of 107048088 is about 474.8170493962.

Adding to 107048088 its reverse (880840701), we get a palindrome (987888789).

The spelling of 107048088 in words is "one hundred seven million, forty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 108 126 166 168 189 216 249 252 332 378 498 504 581 664 747 756 853 996 1162 1494 1512 1706 1743 1992 2241 2324 2559 2988 3412 3486 4482 4648 5118 5229 5971 5976 6824 6972 7677 8964 10236 10458 11942 13944 15354 15687 17913 17928 20472 20916 23031 23884 30708 31374 35826 41832 46062 47768 53739 61416 62748 70799 71652 92124 107478 125496 141598 143304 161217 184248 212397 214956 283196 322434 424794 429912 495593 566392 637191 644868 849588 991186 1274382 1289736 1486779 1699176 1911573 1982372 2548764 2973558 3823146 3964744 4460337 5097528 5947116 7646292 8920674 11894232 13381011 15292584 17841348 26762022 35682696 53524044 107048088