Search a number
-
+
92412240 = 24353112421
BaseRepresentation
bin1011000001000…
…01100101010000
320102220000202120
411200201211100
5142124142430
613100414240
72201330304
oct540414520
9212800676
1092412240
1148189758
1226b47380
13161b7bcb
14c3b7d04
1581a6610
hex5821950

92412240 has 80 divisors (see below), whose sum is σ = 295742976. Its totient is φ = 23846400.

The previous prime is 92412211. The next prime is 92412259. The reversal of 92412240 is 4221429.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 92412240.

It is a congruent number.

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, 1230 + ... + 13650.

Almost surely, 292412240 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 92412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147871488).

92412240 is an abundant number, since it is smaller than the sum of its proper divisors (203330736).

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

92412240 is a wasteful number, since it uses less digits than its factorization.

92412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 92412240 is about 9613.1285230148. The cubic root of 92412240 is about 452.1090138290.

Adding to 92412240 its reverse (4221429), we get a palindrome (96633669).

The spelling of 92412240 in words is "ninety-two million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 12421 24842 37263 49684 62105 74526 99368 124210 149052 186315 198736 248420 298104 372630 385051 496840 596208 745260 770102 993680 1155153 1490520 1540204 1925255 2310306 2981040 3080408 3850510 4620612 5775765 6160816 7701020 9241224 11551530 15402040 18482448 23103060 30804080 46206120 92412240