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940827060 = 22325311391213
BaseRepresentation
bin111000000100111…
…110000110110100
32102120022222002200
4320010332012310
53411322431220
6233205104500
732212620015
oct7004760664
92376288080
10940827060
11443088328
122230b8130
1311cbbc804
148cd4700c
15578e3890
hex3813e1b4

940827060 has 144 divisors (see below), whose sum is σ = 2969541120. Its totient is φ = 240848640.

The previous prime is 940827011. The next prime is 940827061. The reversal of 940827060 is 60728049.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940827061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775014 + ... + 776226.

Almost surely, 2940827060 is an apocalyptic number.

940827060 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940827060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484770560).

940827060 is an abundant number, since it is smaller than the sum of its proper divisors (2028714060).

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

940827060 is a wasteful number, since it uses less digits than its factorization.

940827060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 940827060 is about 30672.9043293914. The cubic root of 940827060 is about 979.8733211239.

The spelling of 940827060 in words is "nine hundred forty million, eight hundred twenty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 139 155 180 186 278 279 310 372 417 465 556 558 620 695 834 930 1116 1213 1251 1390 1395 1668 1860 2085 2426 2502 2780 2790 3639 4170 4309 4852 5004 5580 6065 6255 7278 8340 8618 10917 12130 12510 12927 14556 17236 18195 21545 21834 24260 25020 25854 36390 37603 38781 43090 43668 51708 54585 64635 72780 75206 77562 86180 109170 112809 129270 150412 155124 168607 188015 193905 218340 225618 258540 337214 338427 376030 387810 451236 505821 564045 674428 676854 752060 775620 843035 1011642 1128090 1353708 1517463 1686070 1692135 2023284 2256180 2529105 3034926 3372140 3384270 5058210 5226817 6069852 6768540 7587315 10116420 10453634 15174630 15680451 20907268 26134085 30349260 31360902 47041353 52268170 62721804 78402255 94082706 104536340 156804510 188165412 235206765 313609020 470413530 940827060