Search a number
-
+
106350540 = 22352961121
BaseRepresentation
bin1100101011011…
…00011111001100
321102010011111220
412111230133030
5204211204130
614315243340
72430651612
oct625543714
9242104456
10106350540
115503980a
122b749550
131905821a
14101a56b2
15950b410
hex656c7cc

106350540 has 48 divisors (see below), whose sum is σ = 308054880. Its totient is φ = 27381760.

The previous prime is 106350533. The next prime is 106350557. The reversal of 106350540 is 45053601.

It is a super-2 number, since 2×1063505402 = 22620874716583200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106350540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28821 + ... + 32300.

It is an arithmetic number, because the mean of its divisors is an integer number (6417810).

Almost surely, 2106350540 is an apocalyptic number.

106350540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106350540 is an abundant number, since it is smaller than the sum of its proper divisors (201704340).

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

106350540 is a wasteful number, since it uses less digits than its factorization.

106350540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61162 (or 61160 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 106350540 is about 10312.6398172340. The cubic root of 106350540 is about 473.7834649840.

The spelling of 106350540 in words is "one hundred six million, three hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 61121 122242 183363 244484 305605 366726 611210 733452 916815 1222420 1772509 1833630 3545018 3667260 5317527 7090036 8862545 10635054 17725090 21270108 26587635 35450180 53175270 106350540