Search a number
-
+
155532300 = 223527116733
BaseRepresentation
bin10010100010100…
…11110000001100
3101211122212012120
421101103300030
5304304013200
623233332540
73566000640
oct1121236014
9354585176
10155532300
117a8807a0
1244107150
13262b8061
1416928c20
15d9c39a0
hex9453c0c

155532300 has 144 divisors (see below), whose sum is σ = 561130752. Its totient is φ = 32313600.

The previous prime is 155532287. The next prime is 155532313. The reversal of 155532300 is 3235551.

It is an interprime number because it is at equal distance from previous prime (155532287) and next prime (155532313).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19734 + ... + 26466.

Almost surely, 2155532300 is an apocalyptic number.

155532300 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 155532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280565376).

155532300 is an abundant number, since it is smaller than the sum of its proper divisors (405598452).

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

155532300 is a wasteful number, since it uses less digits than its factorization.

155532300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 155532300 is about 12471.2589581004. The cubic root of 155532300 is about 537.7827464967.

Adding to 155532300 its reverse (3235551), we get a palindrome (158767851).

The spelling of 155532300 in words is "one hundred fifty-five million, five hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 6733 7700 11550 13466 20199 23100 26932 33665 40398 47131 67330 74063 80796 94262 100995 134660 141393 148126 168325 188524 201990 222189 235655 282786 296252 336650 370315 403980 444378 471310 504975 518441 565572 673300 706965 740630 888756 942620 1009950 1036882 1110945 1178275 1413930 1481260 1555323 1851575 2019900 2073764 2221890 2356550 2592205 2827860 3110646 3534825 3703150 4443780 4713100 5184410 5554725 6221292 7069650 7406300 7776615 10368820 11109450 12961025 14139300 15553230 22218900 25922050 31106460 38883075 51844100 77766150 155532300