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132703920 = 2434520479
BaseRepresentation
bin1111110100011…
…10011010110000
3100020201001120000
413322032122300
5232433011140
621100150000
73200651616
oct772163260
9306631500
10132703920
11689a9468
1238538300
132165443b
14138a56b6
15b9b4a30
hex7e8e6b0

132703920 has 100 divisors (see below), whose sum is σ = 460922880. Its totient is φ = 35385984.

The previous prime is 132703919. The next prime is 132703931. The reversal of 132703920 is 29307231.

132703920 is a `hidden beast` number, since 1 + 3 + 270 + 392 + 0 = 666.

It is a super-2 number, since 2×1327039202 = 35220660766732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3760 + ... + 16719.

Almost surely, 2132703920 is an apocalyptic number.

132703920 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 132703920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230461440).

132703920 is an abundant number, since it is smaller than the sum of its proper divisors (328218960).

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

132703920 is a wasteful number, since it uses less digits than its factorization.

132703920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20504 (or 20489 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 132703920 is about 11519.7187465667. The cubic root of 132703920 is about 510.0678110525.

The spelling of 132703920 in words is "one hundred thirty-two million, seven hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 20479 40958 61437 81916 102395 122874 163832 184311 204790 245748 307185 327664 368622 409580 491496 552933 614370 737244 819160 921555 982992 1105866 1228740 1474488 1638320 1658799 1843110 2211732 2457480 2764665 2948976 3317598 3686220 4423464 4914960 5529330 6635196 7372440 8293995 8846928 11058660 13270392 14744880 16587990 22117320 26540784 33175980 44234640 66351960 132703920