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742510140 = 223531617647
BaseRepresentation
bin101100010000011…
…100111000111100
31220202011102102120
4230100130320330
53010040311030
6201402322540
724254142411
oct5420347074
91822142376
10742510140
11351144949
121887b9450
13baaa4618
1470882108
15452bd010
hex2c41ce3c

742510140 has 96 divisors (see below), whose sum is σ = 2152894464. Its totient is φ = 191009280.

The previous prime is 742510121. The next prime is 742510141. The reversal of 742510140 is 41015247.

It is a self number, because there is not a number n which added to its sum of digits gives 742510140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742510141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147297 + ... + 1147943.

It is an arithmetic number, because the mean of its divisors is an integer number (22425984).

Almost surely, 2742510140 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 742510140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076447232).

742510140 is an abundant number, since it is smaller than the sum of its proper divisors (1410384324).

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

742510140 is a wasteful number, since it uses less digits than its factorization.

742510140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 742510140 is about 27249.0392491185. The cubic root of 742510140 is about 905.5257326060.

Adding to 742510140 its reverse (41015247), we get a palindrome (783525387).

The spelling of 742510140 in words is "seven hundred forty-two million, five hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 617 620 647 930 1234 1294 1851 1860 1941 2468 2588 3085 3235 3702 3882 6170 6470 7404 7764 9255 9705 12340 12940 18510 19127 19410 20057 37020 38254 38820 40114 57381 60171 76508 80228 95635 100285 114762 120342 191270 200570 229524 240684 286905 300855 382540 399199 401140 573810 601710 798398 1147620 1197597 1203420 1596796 1995995 2395194 3991990 4790388 5987985 7983980 11975970 12375169 23951940 24750338 37125507 49500676 61875845 74251014 123751690 148502028 185627535 247503380 371255070 742510140