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107522240 = 2657232087
BaseRepresentation
bin1100110100010…
…10100011000000
321111022200210012
412122022203000
5210011202430
614400324052
72443631630
oct632124300
9244280705
10107522240
115576a061
1230013628
1319378637
14103cc6c0
15968d695
hex668a8c0

107522240 has 112 divisors (see below), whose sum is σ = 305482752. Its totient is φ = 35245056.

The previous prime is 107522237. The next prime is 107522243. The reversal of 107522240 is 42225701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107522237) and next prime (107522243).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1075222402 = 23122064189235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107522243) 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, 50477 + ... + 52563.

Almost surely, 2107522240 is an apocalyptic number.

107522240 is a gapful number since it is divisible by the number (10) 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 107522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152741376).

107522240 is an abundant number, since it is smaller than the sum of its proper divisors (197960512).

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

107522240 is a wasteful number, since it uses less digits than its factorization.

107522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 107522240 is about 10369.2931292350. The cubic root of 107522240 is about 475.5170583770.

Adding to 107522240 its reverse (42225701), we get a palindrome (149747941).

The spelling of 107522240 in words is "one hundred seven million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2087 2240 2576 3220 3680 4174 5152 6440 7360 8348 10304 10435 12880 14609 16696 20870 25760 29218 33392 41740 48001 51520 58436 66784 73045 83480 96002 116872 133568 146090 166960 192004 233744 240005 292180 333920 336007 384008 467488 480010 584360 667840 672014 768016 934976 960020 1168720 1344028 1536032 1680035 1920040 2337440 2688056 3072064 3360070 3840080 4674880 5376112 6720140 7680160 10752224 13440280 15360320 21504448 26880560 53761120 107522240