Search a number
-
+
71694900 = 223252372153
BaseRepresentation
bin1000100010111…
…11101000110100
311222220110220200
410101133220310
5121323214100
611040400500
71530253014
oct421375064
9158813820
1071694900
1137519492
1220016130
1311b13124
149743c44
156462e00
hex445fa34

71694900 has 108 divisors (see below), whose sum is σ = 230904492. Its totient is φ = 18593280.

The previous prime is 71694893. The next prime is 71694907. The reversal of 71694900 is 949617.

71694900 is a `hidden beast` number, since 7 + 169 + 490 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71694893) and next prime (71694907).

It can be written as a sum of positive squares in 6 ways, for example, as 2039184 + 69655716 = 1428^2 + 8346^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71694907) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 32224 + ... + 34376.

Almost surely, 271694900 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 71694900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115452246).

71694900 is an abundant number, since it is smaller than the sum of its proper divisors (159209592).

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

71694900 is a wasteful number, since it uses less digits than its factorization.

71694900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 71694900 is about 8467.2840982218. The cubic root of 71694900 is about 415.4283089524.

The spelling of 71694900 in words is "seventy-one million, six hundred ninety-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2153 2220 2775 3330 3700 4306 5550 6459 6660 8325 8612 10765 11100 12918 16650 19377 21530 25836 32295 33300 38754 43060 53825 64590 77508 79661 96885 107650 129180 159322 161475 193770 215300 238983 318644 322950 387540 398305 477966 484425 645900 716949 796610 955932 968850 1194915 1433898 1593220 1937700 1991525 2389830 2867796 3584745 3983050 4779660 5974575 7169490 7966100 11949150 14338980 17923725 23898300 35847450 71694900