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106984752 = 2437318407
BaseRepresentation
bin1100110000001…
…11010100110000
321110022101111020
412120013110300
5204342003002
614341015440
72436232620
oct630072460
9243271436
10106984752
1155432256
122b9b4580
131921aab4
14102cc880
1595d42bc
hex6607530

106984752 has 40 divisors (see below), whose sum is σ = 315860736. Its totient is φ = 30566976.

The previous prime is 106984747. The next prime is 106984771. The reversal of 106984752 is 257489601.

It is a super-2 number, since 2×1069847522 = 22891474321003008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 158868 + ... + 159539.

Almost surely, 2106984752 is an apocalyptic number.

106984752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106984752 is an abundant number, since it is smaller than the sum of its proper divisors (208875984).

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

106984752 is a wasteful number, since it uses less digits than its factorization.

106984752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318425 (or 318419 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 106984752 is about 10343.3433666296. The cubic root of 106984752 is about 474.7233876094.

The spelling of 106984752 in words is "one hundred six million, nine hundred eighty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 318407 636814 955221 1273628 1910442 2228849 2547256 3820884 4457698 5094512 6686547 7641768 8915396 13373094 15283536 17830792 26746188 35661584 53492376 106984752