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106060440 = 23354121557
BaseRepresentation
bin1100101001001…
…01101010011000
321101120102120110
412110211222120
5204122413230
614305124320
72425333053
oct624455230
9241512513
10106060440
1154960862
122b6296a0
1318c86175
141012ba9a
1594a04b0
hex6525a98

106060440 has 64 divisors (see below), whose sum is σ = 325956960. Its totient is φ = 27591680.

The previous prime is 106060421. The next prime is 106060441. The reversal of 106060440 is 44060601.

It is a super-2 number, since 2×1060604402 = 22497633865987200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106060441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5859 + ... + 15698.

Almost surely, 2106060440 is an apocalyptic number.

106060440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106060440 is an abundant number, since it is smaller than the sum of its proper divisors (219896520).

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

106060440 is a wasteful number, since it uses less digits than its factorization.

106060440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21612 (or 21608 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106060440 is about 10298.5649485741. The cubic root of 106060440 is about 473.3522816369.

The spelling of 106060440 in words is "one hundred six million, sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 21557 43114 64671 86228 107785 129342 172456 215570 258684 323355 431140 517368 646710 862280 883837 1293420 1767674 2586840 2651511 3535348 4419185 5303022 7070696 8838370 10606044 13257555 17676740 21212088 26515110 35353480 53030220 106060440