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729442980 = 223257578923
BaseRepresentation
bin101011011110100…
…110101010100100
31212211120112122200
4223132212222210
52443214133410
6200214254500
724035106630
oct5336465244
91784515580
10729442980
1134482a342
12184357430
13b817a986
146cc3ddc0
154408b3c0
hex2b7a6aa4

729442980 has 72 divisors (see below), whose sum is σ = 2528740032. Its totient is φ = 166729536.

The previous prime is 729442957. The next prime is 729442993. The reversal of 729442980 is 89244927.

It is a super-2 number, since 2×7294429802 = 1064174122142560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288202 + ... + 290721.

Almost surely, 2729442980 is an apocalyptic number.

729442980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

729442980 is an abundant number, since it is smaller than the sum of its proper divisors (1799297052).

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

729442980 is a wasteful number, since it uses less digits than its factorization.

729442980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578945 (or 578940 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 729442980 is about 27008.2020875141. The cubic root of 729442980 is about 900.1822593844.

The spelling of 729442980 in words is "seven hundred twenty-nine million, four hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 578923 1157846 1736769 2315692 2894615 3473538 4052461 5210307 5789230 6947076 8104922 8683845 10420614 11578460 12157383 16209844 17367690 20262305 20841228 24314766 26051535 34735380 36472149 40524610 48629532 52103070 60786915 72944298 81049220 104206140 121573830 145888596 182360745 243147660 364721490 729442980