Search a number
-
+
126354630 = 23537671699
BaseRepresentation
bin1111000100000…
…00010011000110
322210202110222010
413202000103012
5224321322010
620312115050
73062665563
oct742002306
9283673863
10126354630
1165362116
1236395a86
132024046c
1412ad186a
15b15d620
hex78804c6

126354630 has 64 divisors (see below), whose sum is σ = 316281600. Its totient is φ = 32275584.

The previous prime is 126354629. The next prime is 126354637. The reversal of 126354630 is 36453621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126354637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73521 + ... + 75219.

It is an arithmetic number, because the mean of its divisors is an integer number (4941900).

Almost surely, 2126354630 is an apocalyptic number.

126354630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126354630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158140800).

126354630 is an abundant number, since it is smaller than the sum of its proper divisors (189926970).

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

126354630 is a wasteful number, since it uses less digits than its factorization.

126354630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 126354630 is about 11240.7575367499. The cubic root of 126354630 is about 501.7996878090.

The spelling of 126354630 in words is "one hundred twenty-six million, three hundred fifty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 111 134 185 201 222 335 370 402 555 670 1005 1110 1699 2010 2479 3398 4958 5097 7437 8495 10194 12395 14874 16990 24790 25485 37185 50970 62863 74370 113833 125726 188589 227666 314315 341499 377178 569165 628630 682998 942945 1138330 1707495 1885890 3414990 4211821 8423642 12635463 21059105 25270926 42118210 63177315 126354630