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742807860 = 223517769947
BaseRepresentation
bin101100010001100…
…101100100110100
31220202201112211020
4230101211210310
53010124322420
6201412541140
724256522404
oct5421454464
91822645736
10742807860
113513285a3
121889217b0
13bab79ca2
147091c804
154532b340
hex2c465934

742807860 has 96 divisors (see below), whose sum is σ = 2207399040. Its totient is φ = 185991168.

The previous prime is 742807853. The next prime is 742807883. The reversal of 742807860 is 68708247.

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, 783907 + ... + 784853.

It is an arithmetic number, because the mean of its divisors is an integer number (22993740).

Almost surely, 2742807860 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 742807860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103699520).

742807860 is an abundant number, since it is smaller than the sum of its proper divisors (1464591180).

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

742807860 is a wasteful number, since it uses less digits than its factorization.

742807860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 742807860 is about 27254.5016465170. The cubic root of 742807860 is about 905.6467442404.

The spelling of 742807860 in words is "seven hundred forty-two million, eight hundred seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 769 947 1020 1538 1894 2307 2841 3076 3788 3845 4614 4735 5682 7690 9228 9470 11364 11535 13073 14205 15380 16099 18940 23070 26146 28410 32198 39219 46140 48297 52292 56820 64396 65365 78438 80495 96594 130730 156876 160990 193188 196095 241485 261460 321980 392190 482970 728243 784380 965940 1456486 2184729 2912972 3641215 4369458 7282430 8738916 10923645 12380131 14564860 21847290 24760262 37140393 43694580 49520524 61900655 74280786 123801310 148561572 185701965 247602620 371403930 742807860