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132449020 = 225112229239
BaseRepresentation
bin1111110010100…
…00001011111100
3100020020002220021
413321100023330
5232401332040
621050501524
73165540514
oct771201374
9306202807
10132449020
1168844a00
12384348a4
1321595402
141383a844
15b96424a
hex7e502fc

132449020 has 72 divisors (see below), whose sum is σ = 308347200. Its totient is φ = 47752320.

The previous prime is 132448969. The next prime is 132449029. The reversal of 132449020 is 20944231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132449029) 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, 554061 + ... + 554299.

It is an arithmetic number, because the mean of its divisors is an integer number (4282600).

Almost surely, 2132449020 is an apocalyptic number.

132449020 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 132449020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154173600).

132449020 is an abundant number, since it is smaller than the sum of its proper divisors (175898180).

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

132449020 is a wasteful number, since it uses less digits than its factorization.

132449020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 132449020 is about 11508.6497904837. The cubic root of 132449020 is about 509.7410193500.

The spelling of 132449020 in words is "one hundred thirty-two million, four hundred forty-nine thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 229 239 242 458 478 484 605 916 956 1145 1195 1210 2290 2390 2420 2519 2629 4580 4780 5038 5258 10076 10516 12595 13145 25190 26290 27709 28919 50380 52580 54731 55418 57838 109462 110836 115676 138545 144595 218924 273655 277090 289190 547310 554180 578380 602041 1094620 1204082 2408164 3010205 6020410 6622451 12040820 13244902 26489804 33112255 66224510 132449020