Search a number
-
+
106433730 = 23351330323
BaseRepresentation
bin1100101100000…
…00110011000010
321102021101122000
412112000303002
5204221334410
614321124430
72431446264
oct626006302
9242241560
10106433730
1155096267
122b789716
1319087050
14101c7b34
159525dc0
hex6580cc2

106433730 has 64 divisors (see below), whose sum is σ = 305665920. Its totient is φ = 26198208.

The previous prime is 106433713. The next prime is 106433731. The reversal of 106433730 is 37334601.

It is a happy number.

106433730 is a `hidden beast` number, since 10 + 643 + 3 + 7 + 3 + 0 = 666.

It is a super-2 number, since 2×1064337302 = 22656277763425800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106433694 and 106433703.

It is not an unprimeable number, because it can be changed into a prime (106433731) 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, 11652 + ... + 18671.

It is an arithmetic number, because the mean of its divisors is an integer number (4776030).

Almost surely, 2106433730 is an apocalyptic number.

106433730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106433730 is an abundant number, since it is smaller than the sum of its proper divisors (199232190).

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

106433730 is a wasteful number, since it uses less digits than its factorization.

106433730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30352 (or 30346 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 106433730 is about 10316.6724286467. The cubic root of 106433730 is about 473.9069678016.

The spelling of 106433730 in words is "one hundred six million, four hundred thirty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 30323 60646 90969 151615 181938 272907 303230 394199 454845 545814 788398 818721 909690 1182597 1364535 1637442 1970995 2365194 2729070 3547791 3941990 4093605 5912985 7095582 8187210 10643373 11825970 17738955 21286746 35477910 53216865 106433730