Search a number
-
+
61422300 = 2234527583
BaseRepresentation
bin1110101001001…
…1101011011100
311021120120120000
43222103223130
5111211003200
610032254300
71344036522
oct352235334
9137516500
1061422300
1131742535
12186a1390
13c957474
14822c312
1555d4300
hex3a93adc

61422300 has 90 divisors (see below), whose sum is σ = 199133088. Its totient is φ = 16377120.

The previous prime is 61422289. The next prime is 61422301. The reversal of 61422300 is 322416.

It is a happy number.

61422300 is a `hidden beast` number, since 614 + 22 + 30 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61422301) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4309 + ... + 11891.

Almost surely, 261422300 is an apocalyptic number.

61422300 is a gapful number since it is divisible by the number (60) 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 61422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99566544).

61422300 is an abundant number, since it is smaller than the sum of its proper divisors (137710788).

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

61422300 is a wasteful number, since it uses less digits than its factorization.

61422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 61422300 is about 7837.2380338994. The cubic root of 61422300 is about 394.5560359326.

Adding to 61422300 its reverse (322416), we get a palindrome (61744716).

The spelling of 61422300 in words is "sixty-one million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 7583 8100 15166 22749 30332 37915 45498 68247 75830 90996 113745 136494 151660 189575 204741 227490 272988 341235 379150 409482 454980 568725 614223 682470 758300 818964 1023705 1137450 1228446 1364940 1706175 2047410 2274900 2456892 3071115 3412350 4094820 5118525 6142230 6824700 10237050 12284460 15355575 20474100 30711150 61422300