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720428148 = 2233113171913
BaseRepresentation
bin101010111100001…
…101110001110100
31212012121112122000
4222330031301310
52433412200043
6155253135300
723565352416
oct5274156164
91765545560
10720428148
1133a732370
1218132a530
13b634265b
146b9749b6
15433aa2d3
hex2af0dc74

720428148 has 96 divisors (see below), whose sum is σ = 2045070720. Its totient is φ = 217509120.

The previous prime is 720428129. The next prime is 720428161. The reversal of 720428148 is 841824027.

It is a super-3 number, since 3×7204281483 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375640 + ... + 377552.

It is an arithmetic number, because the mean of its divisors is an integer number (21302820).

Almost surely, 2720428148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720428148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022535360).

720428148 is an abundant number, since it is smaller than the sum of its proper divisors (1324642572).

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

720428148 is a wasteful number, since it uses less digits than its factorization.

720428148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 720428148 is about 26840.7926112475. The cubic root of 720428148 is about 896.4585719305.

The spelling of 720428148 in words is "seven hundred twenty million, four hundred twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 317 396 594 634 951 1188 1268 1902 1913 2853 3487 3804 3826 5706 5739 6974 7652 8559 10461 11412 11478 13948 17118 17217 20922 21043 22956 31383 34236 34434 41844 42086 51651 62766 63129 68868 84172 94149 103302 125532 126258 188298 189387 206604 252516 376596 378774 568161 606421 757548 1136322 1212842 1819263 2272644 2425684 3638526 5457789 6670631 7277052 10915578 13341262 16373367 20011893 21831156 26682524 32746734 40023786 60035679 65493468 80047572 120071358 180107037 240142716 360214074 720428148