Search a number
-
+
102760608 = 2531070423
BaseRepresentation
bin1100010000000…
…00000010100000
321011100210001110
412020000002200
5202301314413
614110303320
72355310416
oct610000240
9234323043
10102760608
1153007625
122a4b7b40
131839c1c2
14d90d2b6
15904c8c3
hex62000a0

102760608 has 24 divisors (see below), whose sum is σ = 269746848. Its totient is φ = 34253504.

The previous prime is 102760591. The next prime is 102760657. The reversal of 102760608 is 806067201.

It is a happy number.

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

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 535116 + ... + 535307.

It is an arithmetic number, because the mean of its divisors is an integer number (11239452).

Almost surely, 2102760608 is an apocalyptic number.

It is an amenable number.

102760608 is an abundant number, since it is smaller than the sum of its proper divisors (166986240).

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

102760608 is a wasteful number, since it uses less digits than its factorization.

102760608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070436 (or 1070428 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 102760608 is about 10137.0907069040. The cubic root of 102760608 is about 468.3913739808.

The spelling of 102760608 in words is "one hundred two million, seven hundred sixty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1070423 2140846 3211269 4281692 6422538 8563384 12845076 17126768 25690152 34253536 51380304 102760608