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106020648 = 23324912999
BaseRepresentation
bin1100101000110…
…11111100101000
321101111101222200
412110123330220
5204120130043
614304220200
72425106046
oct624337450
9241441880
10106020648
1154933978
122b60a660
1318c71016
141011b396
1594937d3
hex651bf28

106020648 has 48 divisors (see below), whose sum is σ = 287820000. Its totient is φ = 35256480.

The previous prime is 106020641. The next prime is 106020659. The reversal of 106020648 is 846020601.

106020648 is a `hidden beast` number, since 10 + 6 + 0 + 2 + 0 + 648 = 666.

It is a super-2 number, since 2×1060206482 = 22480755604679808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106020641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33853 + ... + 36851.

It is an arithmetic number, because the mean of its divisors is an integer number (5996250).

Almost surely, 2106020648 is an apocalyptic number.

106020648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106020648 is an abundant number, since it is smaller than the sum of its proper divisors (181799352).

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

106020648 is a wasteful number, since it uses less digits than its factorization.

106020648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106020648 is about 10296.6328476838. The cubic root of 106020648 is about 473.2930764325.

The spelling of 106020648 in words is "one hundred six million, twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 491 982 1473 1964 2946 2999 3928 4419 5892 5998 8838 8997 11784 11996 17676 17994 23992 26991 35352 35988 53982 71976 107964 215928 1472509 2945018 4417527 5890036 8835054 11780072 13252581 17670108 26505162 35340216 53010324 106020648