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107452540 = 225132914251
BaseRepresentation
bin1100110011110…
…01100001111100
321111012011011201
412121321201330
5210001440130
614355025244
72443221466
oct631714174
9244164151
10107452540
1155721758
122bb9b224
13193529b0
14103b1136
159677bca
hex667987c

107452540 has 48 divisors (see below), whose sum is σ = 251405280. Its totient is φ = 38304000.

The previous prime is 107452519. The next prime is 107452567. The reversal of 107452540 is 45254701.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 107452499 and 107452508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415 + ... + 14665.

It is an arithmetic number, because the mean of its divisors is an integer number (5237610).

Almost surely, 2107452540 is an apocalyptic number.

107452540 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 107452540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125702640).

107452540 is an abundant number, since it is smaller than the sum of its proper divisors (143952740).

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

107452540 is a wasteful number, since it uses less digits than its factorization.

107452540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14302 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 107452540 is about 10365.9316995628. The cubic root of 107452540 is about 475.4142867607.

The spelling of 107452540 in words is "one hundred seven million, four hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 14251 28502 57004 71255 142510 185263 285020 370526 413279 741052 826558 926315 1653116 1852630 2066395 3705260 4132790 5372627 8265580 10745254 21490508 26863135 53726270 107452540