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874260420 = 2235113735801
BaseRepresentation
bin110100000111000…
…010011111000100
32020221002000211120
4310013002133010
53242302313140
6222430233540
730444043125
oct6407023704
92227060746
10874260420
11409551880
122049558b0
1310c183977
148417a04c
1551b451d0
hex341c27c4

874260420 has 96 divisors (see below), whose sum is σ = 2742719616. Its totient is φ = 206208000.

The previous prime is 874260397. The next prime is 874260437. The reversal of 874260420 is 24062478.

It is a super-4 number, since 4×8742604204 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6520 + ... + 42320.

It is an arithmetic number, because the mean of its divisors is an integer number (28569996).

Almost surely, 2874260420 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 874260420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371359808).

874260420 is an abundant number, since it is smaller than the sum of its proper divisors (1868459196).

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

874260420 is a wasteful number, since it uses less digits than its factorization.

874260420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35861 (or 35859 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 874260420 is about 29567.8950890996. The cubic root of 874260420 is about 956.1960362559.

The spelling of 874260420 in words is "eight hundred seventy-four million, two hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 35801 71602 107403 143204 179005 214806 358010 393811 429612 537015 716020 787622 1074030 1181433 1324637 1575244 1969055 2148060 2362866 2649274 3938110 3973911 4725732 5298548 5907165 6623185 7876220 7947822 11814330 13246370 14571007 15895644 19869555 23628660 26492740 29142014 39739110 43713021 58284028 72855035 79478220 87426042 145710070 174852084 218565105 291420140 437130210 874260420