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132453640 = 23511674493
BaseRepresentation
bin1111110010100…
…01010100001000
3100020020100020101
413321101110020
5232402004030
621050535144
73165560134
oct771212410
9306210211
10132453640
1168848420
12384374b4
1321597547
141383c3c4
15b9657ca
hex7e51508

132453640 has 64 divisors (see below), whose sum is σ = 330039360. Its totient is φ = 47435520.

The previous prime is 132453593. The next prime is 132453677. The reversal of 132453640 is 46354231.

It is a junction number, because it is equal to n+sod(n) for n = 132453599 and 132453608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27234 + ... + 31726.

It is an arithmetic number, because the mean of its divisors is an integer number (5156865).

Almost surely, 2132453640 is an apocalyptic number.

132453640 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 132453640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165019680).

132453640 is an abundant number, since it is smaller than the sum of its proper divisors (197585720).

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

132453640 is a wasteful number, since it uses less digits than its factorization.

132453640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 132453640 is about 11508.8505073270. The cubic root of 132453640 is about 509.7469460986.

The spelling of 132453640 in words is "one hundred thirty-two million, four hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2680 2948 3685 4493 5896 7370 8986 14740 17972 22465 29480 35944 44930 49423 89860 98846 179720 197692 247115 301031 395384 494230 602062 988460 1204124 1505155 1976920 2408248 3010310 3311341 6020620 6622682 12041240 13245364 16556705 26490728 33113410 66226820 132453640