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107377284 = 22371923541
BaseRepresentation
bin1100110011001…
…11001010000100
321111001022221110
412121213022010
5204442033114
614353245020
72442456210
oct631471204
9244038843
10107377284
1155680163
122bb63770
1319327671
1410391940
159660759
hex6667284

107377284 has 72 divisors (see below), whose sum is σ = 302288448. Its totient is φ = 29056320.

The previous prime is 107377261. The next prime is 107377289. The reversal of 107377284 is 482773701.

It is a super-2 number, since 2×1073772842 = 23059762238433312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107377289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28554 + ... + 32094.

Almost surely, 2107377284 is an apocalyptic number.

107377284 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 107377284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151144224).

107377284 is an abundant number, since it is smaller than the sum of its proper divisors (194911164).

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

107377284 is a wasteful number, since it uses less digits than its factorization.

107377284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 107377284 is about 10362.3010957991. The cubic root of 107377284 is about 475.3032729949.

The spelling of 107377284 in words is "one hundred seven million, three hundred seventy-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 361 399 532 722 798 1083 1444 1596 2166 2527 3541 4332 5054 7082 7581 10108 10623 14164 15162 21246 24787 30324 42492 49574 67279 74361 99148 134558 148722 201837 269116 297444 403674 470953 807348 941906 1278301 1412859 1883812 2556602 2825718 3834903 5113204 5651436 7669806 8948107 15339612 17896214 26844321 35792428 53688642 107377284