Search a number
-
+
103150260 = 22345411553
BaseRepresentation
bin1100010010111…
…11001010110100
321012002120120000
412021133022310
5202401302020
614122511300
72361522423
oct611371264
9235076500
10103150260
1153253354
122a665530
13184a7675
14d9b12ba
1590c8090
hex625f2b4

103150260 has 120 divisors (see below), whose sum is σ = 331691976. Its totient is φ = 26818560.

The previous prime is 103150253. The next prime is 103150343. The reversal of 103150260 is 62051301.

103150260 is a `hidden beast` number, since 103 + 1 + 502 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3709476 + 99440784 = 1926^2 + 9972^2 .

It is a super-2 number, since 2×1031502602 = 21279952276135200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65644 + ... + 67196.

Almost surely, 2103150260 is an apocalyptic number.

103150260 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 103150260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165845988).

103150260 is an abundant number, since it is smaller than the sum of its proper divisors (228541716).

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

103150260 is a wasteful number, since it uses less digits than its factorization.

103150260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103150260 is about 10156.2916460685. The cubic root of 103150260 is about 468.9826493127.

The spelling of 103150260 in words is "one hundred three million, one hundred fifty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1553 1620 1845 2214 2460 3106 3321 3690 4428 4659 5535 6212 6642 7380 7765 9318 11070 13284 13977 15530 16605 18636 22140 23295 27954 31060 33210 41931 46590 55908 63673 66420 69885 83862 93180 125793 127346 139770 167724 191019 209655 251586 254692 279540 318365 382038 419310 503172 573057 628965 636730 764076 838620 955095 1146114 1257930 1273460 1719171 1910190 2292228 2515860 2865285 3438342 3820380 5157513 5730570 6876684 8595855 10315026 11461140 17191710 20630052 25787565 34383420 51575130 103150260