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107216704 = 2672179191
BaseRepresentation
bin1100110001111…
…11111101000000
321110202011200001
412120333331000
5204421413304
614350005344
72441220100
oct630777500
9243664601
10107216704
1155580551
122baa6854
131929c54a
141034d200
15962cda4
hex663ff40

107216704 has 84 divisors (see below), whose sum is σ = 250179840. Its totient is φ = 45454080.

The previous prime is 107216689. The next prime is 107216749. The reversal of 107216704 is 407612701.

It is a super-2 number, since 2×1072167042 = 22990843233247232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561249 + ... + 561439.

Almost surely, 2107216704 is an apocalyptic number.

107216704 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 107216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920).

107216704 is an abundant number, since it is smaller than the sum of its proper divisors (142963136).

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

107216704 is a wasteful number, since it uses less digits than its factorization.

107216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 107216704 is about 10354.5499177898. The cubic root of 107216704 is about 475.0662201307.

It can be divided in two parts, 107 and 216704, that added together give a triangular number (216811 = T658).

The spelling of 107216704 in words is "one hundred seven million, two hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 179 191 196 224 358 382 392 448 716 764 784 1253 1337 1432 1528 1568 2506 2674 2864 3056 3136 5012 5348 5728 6112 8771 9359 10024 10696 11456 12224 17542 18718 20048 21392 34189 35084 37436 40096 42784 68378 70168 74872 80192 85568 136756 140336 149744 239323 273512 280672 299488 478646 547024 561344 598976 957292 1094048 1675261 1914584 2188096 3350522 3829168 6701044 7658336 13402088 15316672 26804176 53608352 107216704