Search a number
-
+
106419408 = 24313716183
BaseRepresentation
bin1100101011111…
…01010011010000
321102020122222120
412111331103100
5204220410113
614320534240
72431356444
oct625752320
9242218876
10106419408
1155086527
122b781380
1319080684
14101c2824
159521a23
hex657d4d0

106419408 has 40 divisors (see below), whose sum is σ = 276940608. Its totient is φ = 35212032.

The previous prime is 106419407. The next prime is 106419419. The reversal of 106419408 is 804914601.

It is a super-2 number, since 2×1064194082 = 22650180798140928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106419403) 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, 1516 + ... + 14667.

Almost surely, 2106419408 is an apocalyptic number.

It is an amenable number.

106419408 is an abundant number, since it is smaller than the sum of its proper divisors (170521200).

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

106419408 is a wasteful number, since it uses less digits than its factorization.

106419408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16331 (or 16325 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 106419408 is about 10315.9782861346. The cubic root of 106419408 is about 473.8857101294.

The spelling of 106419408 in words is "one hundred six million, four hundred nineteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2192 3288 6576 16183 32366 48549 64732 97098 129464 194196 258928 388392 776784 2217071 4434142 6651213 8868284 13302426 17736568 26604852 35473136 53209704 106419408