Search a number
-
+
83068416 = 29342003
BaseRepresentation
bin1001111001110…
…00011000000000
312210022022110000
410330320120000
5132231142131
612124240000
72026032654
oct474703000
9183268400
1083068416
1142987592
12239a0000
1314295c12
14b064a64
15745cce6
hex4f38600

83068416 has 100 divisors (see below), whose sum is σ = 248061132. Its totient is φ = 27675648.

The previous prime is 83068373. The next prime is 83068451. The reversal of 83068416 is 61486038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40471 + ... + 42473.

Almost surely, 283068416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124030566).

83068416 is an abundant number, since it is smaller than the sum of its proper divisors (164992716).

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

83068416 is an equidigital number, since it uses as much as digits as its factorization.

83068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83068416 is about 9114.1876215053. The cubic root of 83068416 is about 436.3268878144.

The spelling of 83068416 in words is "eighty-three million, sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2003 2304 2592 3456 4006 4608 5184 6009 6912 8012 10368 12018 13824 16024 18027 20736 24036 32048 36054 41472 48072 54081 64096 72108 96144 108162 128192 144216 162243 192288 216324 256384 288432 324486 384576 432648 512768 576864 648972 769152 865296 1025536 1153728 1297944 1538304 1730592 2307456 2595888 3076608 3461184 4614912 5191776 6922368 9229824 10383552 13844736 20767104 27689472 41534208 83068416