Search a number
-
+
155532100 = 225219109751
BaseRepresentation
bin10010100010100…
…11101101000100
3101211122211221011
421101103231010
5304304011400
623233332004
73566000233
oct1121235504
9354584834
10155532100
117a880629
1244107004
13262b7c39
1416928b1a
15d9c38ba
hex9453b44

155532100 has 72 divisors (see below), whose sum is σ = 359004800. Its totient is φ = 58320000.

The previous prime is 155532089. The next prime is 155532101. The reversal of 155532100 is 1235551.

It is not an unprimeable number, because it can be changed into a prime (155532101) 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, 206725 + ... + 207475.

Almost surely, 2155532100 is an apocalyptic number.

155532100 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 155532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179502400).

155532100 is an abundant number, since it is smaller than the sum of its proper divisors (203472700).

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

155532100 is a wasteful number, since it uses less digits than its factorization.

155532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 155532100 is about 12471.2509396612. The cubic root of 155532100 is about 537.7825159838.

Adding to 155532100 its reverse (1235551), we get a palindrome (156767651).

The spelling of 155532100 in words is "one hundred fifty-five million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 109 190 218 380 436 475 545 751 950 1090 1502 1900 2071 2180 2725 3004 3755 4142 5450 7510 8284 10355 10900 14269 15020 18775 20710 28538 37550 41420 51775 57076 71345 75100 81859 103550 142690 163718 207100 285380 327436 356725 409295 713450 818590 1426900 1555321 1637180 2046475 3110642 4092950 6221284 7776605 8185900 15553210 31106420 38883025 77766050 155532100