Search a number
-
+
104634150 = 235217371109
BaseRepresentation
bin1100011110010…
…01011100100110
321021212222001220
412033021130212
5203241243100
614214401210
72410242555
oct617113446
9237788056
10104634150
1154077205
122b060206
13188a6bca
14dc79d9c
1592bcaa0
hex63c9726

104634150 has 96 divisors (see below), whose sum is σ = 282437280. Its totient is φ = 25528320.

The previous prime is 104634149. The next prime is 104634151. The reversal of 104634150 is 51436401.

It is an interprime number because it is at equal distance from previous prime (104634149) and next prime (104634151).

It is a self number, because there is not a number n which added to its sum of digits gives 104634150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104634151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93796 + ... + 94904.

It is an arithmetic number, because the mean of its divisors is an integer number (2942055).

Almost surely, 2104634150 is an apocalyptic number.

104634150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104634150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141218640).

104634150 is an abundant number, since it is smaller than the sum of its proper divisors (177803130).

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

104634150 is a wasteful number, since it uses less digits than its factorization.

104634150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 104634150 is about 10229.0835366615. The cubic root of 104634150 is about 471.2208339615.

The spelling of 104634150 in words is "one hundred four million, six hundred thirty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 37 50 51 74 75 85 102 111 150 170 185 222 255 370 425 510 555 629 850 925 1109 1110 1258 1275 1850 1887 2218 2550 2775 3145 3327 3774 5545 5550 6290 6654 9435 11090 15725 16635 18853 18870 27725 31450 33270 37706 41033 47175 55450 56559 82066 83175 94265 94350 113118 123099 166350 188530 205165 246198 282795 410330 471325 565590 615495 697561 942650 1025825 1230990 1395122 1413975 2051650 2092683 2827950 3077475 3487805 4185366 6154950 6975610 10463415 17439025 20926830 34878050 52317075 104634150