Search a number
-
+
102139904 = 21153941
BaseRepresentation
bin1100001011010…
…00100000000000
321010012020121102
412011220200000
5202121434104
614045113532
72350113656
oct605504000
9233166542
10102139904
1152723249
122a2588a8
1318212819
14d7cadd6
158e78a1e
hex6168800

102139904 has 48 divisors (see below), whose sum is σ = 208304460. Its totient is φ = 50053120.

The previous prime is 102139903. The next prime is 102139931. The reversal of 102139904 is 409931201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99042304 + 3097600 = 9952^2 + 1760^2 .

It is not an unprimeable number, because it can be changed into a prime (102139901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108074 + ... + 109014.

Almost surely, 2102139904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104152230).

102139904 is an abundant number, since it is smaller than the sum of its proper divisors (106164556).

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

102139904 is an frugal number, since it uses more digits than its factorization.

102139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 102139904 is about 10106.4288450471. The cubic root of 102139904 is about 467.4463953332.

The spelling of 102139904 in words is "one hundred two million, one hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 941 1024 1696 1882 2048 3392 3764 6784 7528 13568 15056 27136 30112 49873 54272 60224 99746 108544 120448 199492 240896 398984 481792 797968 963584 1595936 1927168 3191872 6383744 12767488 25534976 51069952 102139904