Search a number
-
+
81760392 = 23327315233
BaseRepresentation
bin1001101111110…
…01000010001000
312200211212011200
410313321002020
5131412313032
612040224200
72011644330
oct467710210
9180755150
1081760392
114217387a
122346b060
1313c2873c
14ac040c0
1572a047c
hex4df9088

81760392 has 96 divisors (see below), whose sum is σ = 261281280. Its totient is φ = 22602240.

The previous prime is 81760381. The next prime is 81760403. The reversal of 81760392 is 29306718.

It is an interprime number because it is at equal distance from previous prime (81760381) and next prime (81760403).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13008 + ... + 18240.

It is an arithmetic number, because the mean of its divisors is an integer number (2721680).

Almost surely, 281760392 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 81760392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130640640).

81760392 is an abundant number, since it is smaller than the sum of its proper divisors (179520888).

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

81760392 is a wasteful number, since it uses less digits than its factorization.

81760392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 81760392 is about 9042.1453206637. The cubic root of 81760392 is about 434.0245761813.

The spelling of 81760392 in words is "eighty-one million, seven hundred sixty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 5233 7812 10466 15624 15699 20932 31398 36631 41864 47097 62796 73262 94194 109893 125592 146524 162223 188388 219786 293048 324446 329679 376776 439572 486669 648892 659358 879144 973338 1135561 1297784 1318716 1460007 1946676 2271122 2637432 2920014 3406683 3893352 4542244 5840028 6813366 9084488 10220049 11680056 13626732 20440098 27253464 40880196 81760392