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106700288 = 29271769
BaseRepresentation
bin1100101110000…
…01111000000000
321102202221021112
412113001320000
5204303402123
614330542452
72433636362
oct627017000
9242687245
10106700288
1155258562
122b897a28
131914b486
1410256d32
159579d78
hex65c1e00

106700288 has 40 divisors (see below), whose sum is σ = 214257120. Its totient is φ = 53084160.

The previous prime is 106700263. The next prime is 106700311. The reversal of 106700288 is 882007601.

It is a super-2 number, since 2×1067002882 = 22769902918565888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138368 + ... + 139136.

It is an arithmetic number, because the mean of its divisors is an integer number (5356428).

Almost surely, 2106700288 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 106700288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107128560).

106700288 is an abundant number, since it is smaller than the sum of its proper divisors (107556832).

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

106700288 is an frugal number, since it uses more digits than its factorization.

106700288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 106700288 is about 10329.5831474460. The cubic root of 106700288 is about 474.3022634874.

Adding to 106700288 its reverse (882007601), we get a palindrome (988707889).

The spelling of 106700288 in words is "one hundred six million, seven hundred thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 271 512 542 769 1084 1538 2168 3076 4336 6152 8672 12304 17344 24608 34688 49216 69376 98432 138752 196864 208399 393728 416798 833596 1667192 3334384 6668768 13337536 26675072 53350144 106700288