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106467420 = 22358321379
BaseRepresentation
bin1100101100010…
…01000001011100
321102100002211210
412112021001130
5204223424140
614321544420
72431646433
oct626110134
9242302753
10106467420
1155109604
122b7a5110
1319099497
14101d611a
159530d80
hex658905c

106467420 has 48 divisors (see below), whose sum is σ = 301714560. Its totient is φ = 28047936.

The previous prime is 106467419. The next prime is 106467451. The reversal of 106467420 is 24764601.

It is a super-2 number, since 2×1064674202 = 22670623042912800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5710 + ... + 15669.

It is an arithmetic number, because the mean of its divisors is an integer number (6285720).

Almost surely, 2106467420 is an apocalyptic number.

106467420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106467420 is an abundant number, since it is smaller than the sum of its proper divisors (195247140).

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

106467420 is a wasteful number, since it uses less digits than its factorization.

106467420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21474 (or 21472 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 106467420 is about 10318.3050933765. The cubic root of 106467420 is about 473.9569652396.

The spelling of 106467420 in words is "one hundred six million, four hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 21379 42758 64137 85516 106895 128274 213790 256548 320685 427580 641370 1282740 1774457 3548914 5323371 7097828 8872285 10646742 17744570 21293484 26616855 35489140 53233710 106467420