Search a number
-
+
102255400 = 23521367587
BaseRepresentation
bin1100001100001…
…00101100101000
321010102010001001
412012010230220
5202134133100
614051404344
72351104462
oct606045450
9233363031
10102255400
11527a1aa5
122a2b36b4
1318253270
14d81b132
158e9cd6a
hex6184b28

102255400 has 96 divisors (see below), whose sum is σ = 260295840. Its totient is φ = 37128960.

The previous prime is 102255389. The next prime is 102255403. The reversal of 102255400 is 4552201.

It is not an unprimeable number, because it can be changed into a prime (102255403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173907 + ... + 174493.

It is an arithmetic number, because the mean of its divisors is an integer number (2711415).

Almost surely, 2102255400 is an apocalyptic number.

102255400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130147920).

102255400 is an abundant number, since it is smaller than the sum of its proper divisors (158040440).

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

102255400 is a wasteful number, since it uses less digits than its factorization.

102255400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 102255400 is about 10112.1412173684. The cubic root of 102255400 is about 467.6225192908.

It can be divided in two parts, 10225 and 5400, that added together give a 6-th power (15625 = 56).

The spelling of 102255400 in words is "one hundred two million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 67 100 104 130 134 200 260 268 325 335 520 536 587 650 670 871 1174 1300 1340 1675 1742 2348 2600 2680 2935 3350 3484 4355 4696 5870 6700 6968 7631 8710 11740 13400 14675 15262 17420 21775 23480 29350 30524 34840 38155 39329 43550 58700 61048 76310 78658 87100 117400 152620 157316 174200 190775 196645 305240 314632 381550 393290 511277 763100 786580 983225 1022554 1526200 1573160 1966450 2045108 2556385 3932900 4090216 5112770 7865800 10225540 12781925 20451080 25563850 51127700 102255400