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116406920 = 23571921881
BaseRepresentation
bin1101111000000…
…11101010001000
322010001002021102
412330003222020
5214300010140
615315000532
72612304530
oct674035210
9263032242
10116406920
115a788273
1232b99148
131b169646
14116624c0
15a345e15
hex6f03a88

116406920 has 64 divisors (see below), whose sum is σ = 315100800. Its totient is φ = 37808640.

The previous prime is 116406911. The next prime is 116406923. The reversal of 116406920 is 29604611.

It is not an unprimeable number, because it can be changed into a prime (116406923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5621 + ... + 16260.

It is an arithmetic number, because the mean of its divisors is an integer number (4923450).

Almost surely, 2116406920 is an apocalyptic number.

116406920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116406920 is an abundant number, since it is smaller than the sum of its proper divisors (198693880).

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

116406920 is a wasteful number, since it uses less digits than its factorization.

116406920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21918 (or 21914 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 116406920 is about 10789.2038631217. The cubic root of 116406920 is about 488.2695031120.

The spelling of 116406920 in words is "one hundred sixteen million, four hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 21881 43762 87524 109405 153167 175048 218810 306334 415739 437620 612668 765835 831478 875240 1225336 1531670 1662956 2078695 2910173 3063340 3325912 4157390 5820346 6126680 8314780 11640692 14550865 16629560 23281384 29101730 58203460 116406920