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435780020 = 225132314159
BaseRepresentation
bin11001111110010…
…111100110110100
31010100222220210202
4121332113212310
51343024430040
6111124140032
713541032454
oct3176274664
91110886722
10435780020
11203a93a85
12101b37618
136c38b400
1441c39d64
15283d0015
hex19f979b4

435780020 has 72 divisors (see below), whose sum is σ = 1023160320. Its totient is φ = 155675520.

The previous prime is 435780019. The next prime is 435780031. The reversal of 435780020 is 20087534.

It is a happy number.

It is a congruent number.

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, 102701 + ... + 106859.

It is an arithmetic number, because the mean of its divisors is an integer number (14210560).

Almost surely, 2435780020 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 435780020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511580160).

435780020 is an abundant number, since it is smaller than the sum of its proper divisors (587380300).

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

435780020 is a wasteful number, since it uses less digits than its factorization.

435780020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 435780020 is about 20875.3447875718. The cubic root of 435780020 is about 758.1511036055.

The spelling of 435780020 in words is "four hundred thirty-five million, seven hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 169 260 310 338 403 620 676 806 845 1612 1690 2015 3380 4030 4159 5239 8060 8318 10478 16636 20795 20956 26195 41590 52390 54067 83180 104780 108134 128929 216268 257858 270335 515716 540670 644645 702871 1081340 1289290 1405742 1676077 2578580 2811484 3352154 3514355 6704308 7028710 8380385 14057420 16760770 21789001 33521540 43578002 87156004 108945005 217890010 435780020