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107553330 = 23251195037
BaseRepresentation
bin1100110100100…
…10001000110010
321111101021102200
412122102020302
5210013201310
614401124030
72444121363
oct632221062
9244337380
10107553330
1155790455
1230029616
1319389831
14103d9b6a
1596979c0
hex6692232

107553330 has 24 divisors (see below), whose sum is σ = 279638892. Its totient is φ = 28680864.

The previous prime is 107553323. The next prime is 107553337. The reversal of 107553330 is 33355701.

107553330 is a `hidden beast` number, since 107 + 553 + 3 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (107553323) and next prime (107553337).

It can be written as a sum of positive squares in 2 ways, for example, as 101545929 + 6007401 = 10077^2 + 2451^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107553294 and 107553303.

It is not an unprimeable number, because it can be changed into a prime (107553337) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 597429 + ... + 597608.

Almost surely, 2107553330 is an apocalyptic number.

107553330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107553330 is an abundant number, since it is smaller than the sum of its proper divisors (172085562).

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

107553330 is a wasteful number, since it uses less digits than its factorization.

107553330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195050 (or 1195047 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 107553330 is about 10370.7921587505. The cubic root of 107553330 is about 475.5628857973.

The spelling of 107553330 in words is "one hundred seven million, five hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1195037 2390074 3585111 5975185 7170222 10755333 11950370 17925555 21510666 35851110 53776665 107553330