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874412820 = 22345539761
BaseRepresentation
bin110100000111100…
…111101100010100
32020221100202220000
4310013213230110
53242322202240
6222433411300
730445246341
oct6407475424
92227322800
10874412820
11409646326
12204a09b30
1310c208148
14841b97c8
1551b75430
hex341e7b14

874412820 has 60 divisors (see below), whose sum is σ = 2743070484. Its totient is φ = 233176320.

The previous prime is 874412797. The next prime is 874412831. The reversal of 874412820 is 28214478.

874412820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87946884 + 786465936 = 9378^2 + 28044^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×8744128203 (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 19 ways as a sum of consecutive naturals, for example, 268261 + ... + 271500.

Almost surely, 2874412820 is an apocalyptic number.

It is an amenable number.

874412820 is an abundant number, since it is smaller than the sum of its proper divisors (1868657664).

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

874412820 is a wasteful number, since it uses less digits than its factorization.

874412820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539782 (or 539771 counting only the distinct ones).

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

The square root of 874412820 is about 29570.4720963329. The cubic root of 874412820 is about 956.2515939996.

The spelling of 874412820 in words is "eight hundred seventy-four million, four hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 539761 1079522 1619283 2159044 2698805 3238566 4857849 5397610 6477132 8096415 9715698 10795220 14573547 16192830 19431396 24289245 29147094 32385660 43720641 48578490 58294188 72867735 87441282 97156980 145735470 174882564 218603205 291470940 437206410 874412820