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106977248 = 257477577
BaseRepresentation
bin1100110000001…
…01011111100000
321110022000012022
412120011133200
5204341232443
614340521012
72436202010
oct630053740
9243260168
10106977248
1155427654
122b9b0168
1319217561
14102c9c40
1595d1e68
hex66057e0

106977248 has 24 divisors (see below), whose sum is σ = 240699312. Its totient is φ = 45847296.

The previous prime is 106977229. The next prime is 106977251. The reversal of 106977248 is 842779601.

It is a super-2 number, since 2×1069772482 = 22888263179307008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106977199 and 106977208.

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, 238565 + ... + 239012.

It is an arithmetic number, because the mean of its divisors is an integer number (10029138).

Almost surely, 2106977248 is an apocalyptic number.

It is an amenable number.

106977248 is an abundant number, since it is smaller than the sum of its proper divisors (133722064).

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

106977248 is an equidigital number, since it uses as much as digits as its factorization.

106977248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477594 (or 477586 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 106977248 is about 10342.9806148905. The cubic root of 106977248 is about 474.7122881847.

The spelling of 106977248 in words is "one hundred six million, nine hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 477577 955154 1910308 3343039 3820616 6686078 7641232 13372156 15282464 26744312 53488624 106977248