[go: up one dir, main page]

Search a number
-
+
106427592 = 23321478161
BaseRepresentation
bin1100101011111…
…11010011001000
321102021002012200
412111333103020
5204221140332
614321040200
72431422345
oct625772310
9242232180
10106427592
1155091697
122b786060
131908430b
14101c57cc
15952417c
hex657f4c8

106427592 has 24 divisors (see below), whose sum is σ = 288241590. Its totient is φ = 35475840.

The previous prime is 106427591. The next prime is 106427603. The reversal of 106427592 is 295724601.

106427592 is a `hidden beast` number, since 1 + 0 + 64 + 2 + 7 + 592 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57062916 + 49364676 = 7554^2 + 7026^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1064275922 = 22653664677836928, which contains 22 as substring.

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 (106427591) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 739009 + ... + 739152.

Almost surely, 2106427592 is an apocalyptic number.

106427592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106427592 is an abundant number, since it is smaller than the sum of its proper divisors (181813998).

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

106427592 is a wasteful number, since it uses less digits than its factorization.

106427592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478173 (or 1478166 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106427592 is about 10316.3749447177. The cubic root of 106427592 is about 473.8978576042.

The spelling of 106427592 in words is "one hundred six million, four hundred twenty-seven thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1478161 2956322 4434483 5912644 8868966 11825288 13303449 17737932 26606898 35475864 53213796 106427592