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116746080 = 25351122111
BaseRepresentation
bin1101111010101…
…10011101100000
322010200022111220
412331112131200
5214341333310
615330135040
72615216403
oct675263540
9263608456
10116746080
115a99a070
1233121480
131b257b29
141170dd3a
15a3b1670
hex6f56760

116746080 has 96 divisors (see below), whose sum is σ = 401200128. Its totient is φ = 28300800.

The previous prime is 116746079. The next prime is 116746087. The reversal of 116746080 is 80647611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116746087) 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, 5776 + ... + 16335.

It is an arithmetic number, because the mean of its divisors is an integer number (4179168).

Almost surely, 2116746080 is an apocalyptic number.

116746080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116746080 is an abundant number, since it is smaller than the sum of its proper divisors (284454048).

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

116746080 is a wasteful number, since it uses less digits than its factorization.

116746080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22132 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 116746080 is about 10804.9099949976. The cubic root of 116746080 is about 488.7432461788.

The spelling of 116746080 in words is "one hundred sixteen million, seven hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 22111 44222 66333 88444 110555 132666 176888 221110 243221 265332 331665 353776 442220 486442 530664 663330 707552 729663 884440 972884 1061328 1216105 1326660 1459326 1768880 1945768 2122656 2432210 2653320 2918652 3537760 3648315 3891536 4864420 5306640 5837304 7296630 7783072 9728840 10613280 11674608 14593260 19457680 23349216 29186520 38915360 58373040 116746080