Search a number
-
+
92014000 = 2453133539
BaseRepresentation
bin1010111110000…
…00010110110000
320102010210110221
411133000112300
5142023422000
613044102424
72165051251
oct537002660
9212123427
1092014000
1147a37531
1226994a14
13160a8870
14c312b28
15812861a
hex57c05b0

92014000 has 80 divisors (see below), whose sum is σ = 239672160. Its totient is φ = 33964800.

The previous prime is 92013973. The next prime is 92014033. The reversal of 92014000 is 41029.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24231 + ... + 27769.

It is an arithmetic number, because the mean of its divisors is an integer number (2995902).

Almost surely, 292014000 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 92014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119836080).

92014000 is an abundant number, since it is smaller than the sum of its proper divisors (147658160).

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

92014000 is a wasteful number, since it uses less digits than its factorization.

92014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 92014000 is about 9592.3928193126. The cubic root of 92014000 is about 451.4586413005.

Adding to 92014000 its reverse (41029), we get a palindrome (92055029).

The spelling of 92014000 in words is "ninety-two million, fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 3539 5200 6500 7078 13000 14156 17695 26000 28312 35390 46007 56624 70780 88475 92014 141560 176950 184028 230035 283120 353900 368056 442375 460070 707800 736112 884750 920140 1150175 1415600 1769500 1840280 2300350 3539000 3680560 4600700 5750875 7078000 9201400 11501750 18402800 23003500 46007000 92014000