Search a number
-
+
102849972 = 2238570831
BaseRepresentation
bin1100010000101…
…01110110110100
321011112022122020
412020111312310
5202312144342
614112233140
72356132101
oct610256664
9234468566
10102849972
1153068785
122a53b7b0
1318400a94
14d933aa8
1590690ec
hex6215db4

102849972 has 12 divisors (see below), whose sum is σ = 239983296. Its totient is φ = 34283320.

The previous prime is 102849947. The next prime is 102849977. The reversal of 102849972 is 279948201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102849977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4285404 + ... + 4285427.

It is an arithmetic number, because the mean of its divisors is an integer number (19998608).

Almost surely, 2102849972 is an apocalyptic number.

102849972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102849972 is an abundant number, since it is smaller than the sum of its proper divisors (137133324).

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

102849972 is a wasteful number, since it uses less digits than its factorization.

102849972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570838 (or 8570836 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 102849972 is about 10141.4975225555. The cubic root of 102849972 is about 468.5271108159.

The spelling of 102849972 in words is "one hundred two million, eight hundred forty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 8570831 17141662 25712493 34283324 51424986 102849972