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132550800 = 24352110459
BaseRepresentation
bin1111110011010…
…01000010010000
3100020102021111220
413321221002100
5232413111200
621053005040
73166443324
oct771510220
9306367456
10132550800
1168904418
1238483780
13215cc835
1413865984
15b9844a0
hex7e69090

132550800 has 60 divisors (see below), whose sum is σ = 424608240. Its totient is φ = 35346560.

The previous prime is 132550777. The next prime is 132550801. The reversal of 132550800 is 8055231.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132550801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54030 + ... + 56429.

It is an arithmetic number, because the mean of its divisors is an integer number (7076804).

Almost surely, 2132550800 is an apocalyptic number.

132550800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132550800 is an abundant number, since it is smaller than the sum of its proper divisors (292057440).

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

132550800 is a wasteful number, since it uses less digits than its factorization.

132550800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110480 (or 110469 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 132550800 is about 11513.0708327535. The cubic root of 132550800 is about 509.8715555045.

It can be divided in two parts, 1325 and 50800, that added together give a palindrome (52125).

The spelling of 132550800 in words is "one hundred thirty-two million, five hundred fifty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 110459 220918 331377 441836 552295 662754 883672 1104590 1325508 1656885 1767344 2209180 2651016 2761475 3313770 4418360 5302032 5522950 6627540 8284425 8836720 11045900 13255080 16568850 22091800 26510160 33137700 44183600 66275400 132550800