Search a number
-
+
124491492 = 22341732221
BaseRepresentation
bin1110110101110…
…01011011100100
322200020211020000
413122321123210
5223332211432
620204141300
73041105646
oct732713344
9280224200
10124491492
11642aa334
1235837830
131ca3a408
1412768896
15ade157c
hex76b96e4

124491492 has 60 divisors (see below), whose sum is σ = 327473916. Its totient is φ = 41238720.

The previous prime is 124491491. The next prime is 124491503. The reversal of 124491492 is 294194421.

124491492 is a `hidden beast` number, since 124 + 49 + 1 + 492 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100520676 + 23970816 = 10026^2 + 4896^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124491491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54942 + ... + 57162.

Almost surely, 2124491492 is an apocalyptic number.

124491492 is a gapful number since it is divisible by the number (12) 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 124491492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163736958).

124491492 is an abundant number, since it is smaller than the sum of its proper divisors (202982424).

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

124491492 is a wasteful number, since it uses less digits than its factorization.

124491492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2399 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 124491492 is about 11157.5755431008. The cubic root of 124491492 is about 499.3210678529.

The spelling of 124491492 in words is "one hundred twenty-four million, four hundred ninety-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 173 324 346 519 692 1038 1557 2076 2221 3114 4442 4671 6228 6663 8884 9342 13326 14013 18684 19989 26652 28026 39978 56052 59967 79956 119934 179901 239868 359802 384233 719604 768466 1152699 1536932 2305398 3458097 4610796 6916194 10374291 13832388 20748582 31122873 41497164 62245746 124491492