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106953340 = 22513231643
BaseRepresentation
bin1100101111111…
…11101001111100
321110020210101211
412113333221330
5204340001330
614340214204
72436042214
oct627775174
9243223354
10106953340
115541069a
122b99a364
1319209700
14102c1244
1595c9d2a
hex65ffa7c

106953340 has 36 divisors (see below), whose sum is σ = 243215784. Its totient is φ = 39489216.

The previous prime is 106953331. The next prime is 106953361. The reversal of 106953340 is 43359601.

It is a super-2 number, since 2×1069533402 = 22878033874311200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12442 + ... + 19201.

It is an arithmetic number, because the mean of its divisors is an integer number (6755994).

Almost surely, 2106953340 is an apocalyptic number.

106953340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106953340 is an abundant number, since it is smaller than the sum of its proper divisors (136262444).

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

106953340 is a wasteful number, since it uses less digits than its factorization.

106953340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31678 (or 31663 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 106953340 is about 10341.8247906257. The cubic root of 106953340 is about 474.6769215774.

The spelling of 106953340 in words is "one hundred six million, nine hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 31643 63286 126572 158215 316430 411359 632860 822718 1645436 2056795 4113590 5347667 8227180 10695334 21390668 26738335 53476670 106953340