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107240952 = 23371349103
BaseRepresentation
bin1100110010001…
…01110111111000
321110210101221010
412121011313320
5204423202302
614350313520
72441350560
oct631056770
9243711833
10107240952
1155597795
122bab88a0
13192aa5b0
1410357da0
15963516c
hex6645df8

107240952 has 64 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 28282752.

The previous prime is 107240899. The next prime is 107240957. The reversal of 107240952 is 259042701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107240957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22368 + ... + 26735.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2107240952 is an apocalyptic number.

107240952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107240952 is an abundant number, since it is smaller than the sum of its proper divisors (222737928).

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

107240952 is a wasteful number, since it uses less digits than its factorization.

107240952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49132 (or 49128 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 107240952 is about 10355.7207378338. The cubic root of 107240952 is about 475.1020308983.

It can be divided in two parts, 1072 and 40952, that added together give a palindrome (42024).

The spelling of 107240952 in words is "one hundred seven million, two hundred forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 49103 98206 147309 196412 294618 343721 392824 589236 638339 687442 1031163 1178472 1276678 1374884 1915017 2062326 2553356 2749768 3830034 4124652 4468373 5106712 7660068 8249304 8936746 13405119 15320136 17873492 26810238 35746984 53620476 107240952