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874738740 = 2235176131399
BaseRepresentation
bin110100001000110…
…111010000110100
32020221222022222010
4310020313100310
53242413114430
6222444404220
730451104501
oct6410672064
92227868863
10874738740
11409849187
12204b46670
1310c2c05b5
14842624a8
1551bdbcb0
hex34237434

874738740 has 96 divisors (see below), whose sum is σ = 2599430400. Its totient is φ = 219027456.

The previous prime is 874738721. The next prime is 874738769. The reversal of 874738740 is 47837478.

It is a self number, because there is not a number n which added to its sum of digits gives 874738740.

It is a congruent number.

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, 624561 + ... + 625959.

It is an arithmetic number, because the mean of its divisors is an integer number (27077400).

Almost surely, 2874738740 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 874738740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299715200).

874738740 is an abundant number, since it is smaller than the sum of its proper divisors (1724691660).

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

874738740 is a wasteful number, since it uses less digits than its factorization.

874738740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The square root of 874738740 is about 29575.9824857941. The cubic root of 874738740 is about 956.3703871671.

The spelling of 874738740 in words is "eight hundred seventy-four million, seven hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 613 1020 1226 1399 1839 2452 2798 3065 3678 4197 5596 6130 6995 7356 8394 9195 10421 12260 13990 16788 18390 20842 20985 23783 27980 31263 36780 41684 41970 47566 52105 62526 71349 83940 95132 104210 118915 125052 142698 156315 208420 237830 285396 312630 356745 475660 625260 713490 857587 1426980 1715174 2572761 3430348 4287935 5145522 8575870 10291044 12863805 14578979 17151740 25727610 29157958 43736937 51455220 58315916 72894895 87473874 145789790 174947748 218684685 291579580 437369370 874738740