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71690112 = 2732134787
BaseRepresentation
bin1000100010111…
…10011110000000
311222220020100100
410101132132000
5121323040422
611040322400
71530233034
oct421363600
9158806310
1071690112
113751592a
1220013400
1311b10bb0
1497421c4
1564617ac
hex445e780

71690112 has 96 divisors (see below), whose sum is σ = 222211080. Its totient is φ = 22053888.

The previous prime is 71690111. The next prime is 71690141. The reversal of 71690112 is 21109617.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71690111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12583 + ... + 17369.

Almost surely, 271690112 is an apocalyptic number.

71690112 is a gapful number since it is divisible by the number (72) 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 71690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111105540).

71690112 is an abundant number, since it is smaller than the sum of its proper divisors (150520968).

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

71690112 is a wasteful number, since it uses less digits than its factorization.

71690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 71690112 is about 8467.0013582141. The cubic root of 71690112 is about 415.4190608979.

Adding to 71690112 its reverse (21109617), we get a palindrome (92799729).

The spelling of 71690112 in words is "seventy-one million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4787 4992 7488 9574 14361 14976 19148 28722 38296 43083 57444 62231 76592 86166 114888 124462 153184 172332 186693 229776 248924 306368 344664 373386 459552 497848 560079 612736 689328 746772 919104 995696 1120158 1378656 1493544 1838208 1991392 2240316 2757312 2987088 3982784 4480632 5514624 5974176 7965568 8961264 11948352 17922528 23896704 35845056 71690112