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116414040 = 23352342179
BaseRepresentation
bin1101111000001…
…01011001011000
322010001110001010
412330011121120
5214300222130
615315053520
72612334351
oct674053130
9263043033
10116414040
115a792656
1232ba12a0
131b16c962
1411664d28
15a3480b0
hex6f05658

116414040 has 64 divisors (see below), whose sum is σ = 364435200. Its totient is φ = 29693312.

The previous prime is 116414027. The next prime is 116414059. The reversal of 116414040 is 40414611.

It is a junction number, because it is equal to n+sod(n) for n = 116413998 and 116414016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18330 + ... + 23849.

It is an arithmetic number, because the mean of its divisors is an integer number (5694300).

Almost surely, 2116414040 is an apocalyptic number.

116414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116414040 is an abundant number, since it is smaller than the sum of its proper divisors (248021160).

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

116414040 is a wasteful number, since it uses less digits than its factorization.

116414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42216 (or 42212 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 116414040 is about 10789.5338175474. The cubic root of 116414040 is about 488.2794578695.

Adding to 116414040 its reverse (40414611), we get a palindrome (156828651).

The spelling of 116414040 in words is "one hundred sixteen million, four hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 42179 84358 126537 168716 210895 253074 337432 421790 506148 632685 843580 970117 1012296 1265370 1687160 1940234 2530740 2910351 3880468 4850585 5061480 5820702 7760936 9701170 11641404 14551755 19402340 23282808 29103510 38804680 58207020 116414040