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106352240 = 2457318211
BaseRepresentation
bin1100101011011…
…00111001110000
321102010020211212
412111230321300
5204211232430
614315255252
72430656561
oct625547160
9242106755
10106352240
1155040015
122b74a528
1319058c27
14101a6168
15950bb95
hex656ce70

106352240 has 40 divisors (see below), whose sum is σ = 250669968. Its totient is φ = 41955840.

The previous prime is 106352209. The next prime is 106352273. The reversal of 106352240 is 42253601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1063522402 = 22621597906035200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3266 + ... + 14945.

Almost surely, 2106352240 is an apocalyptic number.

106352240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106352240 is an abundant number, since it is smaller than the sum of its proper divisors (144317728).

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

106352240 is a wasteful number, since it uses less digits than its factorization.

106352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18297 (or 18291 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 106352240 is about 10312.7222400295. The cubic root of 106352240 is about 473.7859894269.

The spelling of 106352240 in words is "one hundred six million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 18211 36422 72844 91055 145688 182110 291376 364220 728440 1329403 1456880 2658806 5317612 6647015 10635224 13294030 21270448 26588060 53176120 106352240