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742066840 = 235313791579
BaseRepresentation
bin101100001110110…
…000101010011000
31220201022220100001
4230032300222120
53004432114330
6201345022344
724250315114
oct5416605230
91821286301
10742066840
11350971889
121886249b4
13ba97a908
14707a8744
15452319ca
hex2c3b0a98

742066840 has 64 divisors (see below), whose sum is σ = 1729152000. Its totient is φ = 286312320.

The previous prime is 742066817. The next prime is 742066841. The reversal of 742066840 is 48660247.

It is a self number, because there is not a number n which added to its sum of digits gives 742066840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742066841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 469171 + ... + 470749.

It is an arithmetic number, because the mean of its divisors is an integer number (27018000).

Almost surely, 2742066840 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 742066840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864576000).

742066840 is an abundant number, since it is smaller than the sum of its proper divisors (987085160).

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

742066840 is a wasteful number, since it uses less digits than its factorization.

742066840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 742066840 is about 27240.9038029211. The cubic root of 742066840 is about 905.3454883918.

The spelling of 742066840 in words is "seven hundred forty-two million, sixty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 379 620 758 1240 1516 1579 1895 3032 3158 3790 6316 7580 7895 11749 12632 15160 15790 23498 31580 46996 48949 58745 63160 93992 97898 117490 195796 234980 244745 391592 469960 489490 598441 978980 1196882 1957960 2393764 2992205 4787528 5984410 11968820 18551671 23937640 37103342 74206684 92758355 148413368 185516710 371033420 742066840