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116342520 = 23357433221
BaseRepresentation
bin1101110111100…
…11111011111000
322002220210221020
412323303323320
5214240430040
615313342440
72611616010
oct673637370
9262823836
10116342520
115a743948
1232b67a20
131b146238
1411646c40
15a331cd0
hex6ef3ef8

116342520 has 128 divisors (see below), whose sum is σ = 408291840. Its totient is φ = 25966080.

The previous prime is 116342503. The next prime is 116342549. The reversal of 116342520 is 25243611.

116342520 = T344 + T345 + ... + T903.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 34510 + ... + 37730.

It is an arithmetic number, because the mean of its divisors is an integer number (3189780).

Almost surely, 2116342520 is an apocalyptic number.

116342520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204145920).

116342520 is an abundant number, since it is smaller than the sum of its proper divisors (291949320).

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

116342520 is a wasteful number, since it uses less digits than its factorization.

116342520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 116342520 is about 10786.2189853535. The cubic root of 116342520 is about 488.1794444439.

The spelling of 116342520 in words is "one hundred sixteen million, three hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3221 3612 4515 5160 6020 6442 7224 9030 9663 12040 12884 16105 18060 19326 22547 25768 32210 36120 38652 45094 48315 64420 67641 77304 90188 96630 112735 128840 135282 138503 180376 193260 225470 270564 277006 338205 386520 415509 450940 541128 554012 676410 692515 831018 901880 969521 1108024 1352820 1385030 1662036 1939042 2077545 2705640 2770060 2908563 3324072 3878084 4155090 4847605 5540120 5817126 7756168 8310180 9695210 11634252 14542815 16620360 19390420 23268504 29085630 38780840 58171260 116342520