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106232424 = 23329315107
BaseRepresentation
bin1100101010011…
…11101001101000
321101220011111020
412111033221220
5204143414144
614312532440
72426650344
oct625175150
9241804436
10106232424
1154a68aa1
122b6b1120
131901652c
1410174624
1594d6419
hex654fa68

106232424 has 32 divisors (see below), whose sum is σ = 266505120. Its totient is φ = 35287616.

The previous prime is 106232417. The next prime is 106232429. The reversal of 106232424 is 424232601.

It is a super-2 number, since 2×1062324242 = 22570655817831552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106232394 and 106232403.

It is not an unprimeable number, because it can be changed into a prime (106232429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522 + ... + 14585.

It is an arithmetic number, because the mean of its divisors is an integer number (8328285).

Almost surely, 2106232424 is an apocalyptic number.

It is an amenable number.

106232424 is an abundant number, since it is smaller than the sum of its proper divisors (160272696).

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

106232424 is a wasteful number, since it uses less digits than its factorization.

106232424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15409 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 106232424 is about 10306.9114675542. The cubic root of 106232424 is about 473.6080007817.

The spelling of 106232424 in words is "one hundred six million, two hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 293 586 879 1172 1758 2344 3516 7032 15107 30214 45321 60428 90642 120856 181284 362568 4426351 8852702 13279053 17705404 26558106 35410808 53116212 106232424