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101994408 = 23323534013
BaseRepresentation
bin1100001010001…
…00111110101000
321002220212000200
412011010332220
5202102310113
614042032200
72345636535
oct605047650
9232825020
10101994408
11526339aa
122a1a8660
1318191529
14d78dd8c
158e4a873
hex6144fa8

101994408 has 48 divisors (see below), whose sum is σ = 277086420. Its totient is φ = 33893376.

The previous prime is 101994401. The next prime is 101994437. The reversal of 101994408 is 804499101.

It can be written as a sum of positive squares in 2 ways, for example, as 100040004 + 1954404 = 10002^2 + 1398^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101994401) 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, 23410 + ... + 27422.

Almost surely, 2101994408 is an apocalyptic number.

101994408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101994408 is an abundant number, since it is smaller than the sum of its proper divisors (175092012).

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

101994408 is a wasteful number, since it uses less digits than its factorization.

101994408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101994408 is about 10099.2280893145. The cubic root of 101994408 is about 467.2243342278.

The spelling of 101994408 in words is "one hundred one million, nine hundred ninety-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 353 706 1059 1412 2118 2824 3177 4013 4236 6354 8026 8472 12039 12708 16052 24078 25416 32104 36117 48156 72234 96312 144468 288936 1416589 2833178 4249767 5666356 8499534 11332712 12749301 16999068 25498602 33998136 50997204 101994408