Search a number
-
+
11242037040 = 24351319189643
BaseRepresentation
bin10100111100001001…
…11101111100110000
31002000110212122122020
422132010331330300
5141010430141130
65055311511440
7545405511123
oct123604757460
932013778566
1011242037040
114849922903
122218b28580
1310a210c730
147890b63ba
1545be4de10
hex29e13df30

11242037040 has 160 divisors (see below), whose sum is σ = 39506638080. Its totient is φ = 2621611008.

The previous prime is 11242036957. The next prime is 11242037041. The reversal of 11242037040 is 4073024211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11242037040.

It is not an unprimeable number, because it can be changed into a prime (11242037041) 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, 35542 + ... + 154101.

It is an arithmetic number, because the mean of its divisors is an integer number (246916488).

Almost surely, 211242037040 is an apocalyptic number.

11242037040 is a gapful number since it is divisible by the number (10) 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 11242037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19753319040).

11242037040 is an abundant number, since it is smaller than the sum of its proper divisors (28264601040).

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

11242037040 is a wasteful number, since it uses less digits than its factorization.

11242037040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189691 (or 189685 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 11242037040 in words is "eleven billion, two hundred forty-two million, thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 59280 189643 379286 568929 758572 948215 1137858 1517144 1896430 2275716 2465359 2844645 3034288 3603217 3792860 4551432 4930718 5689290 7206434 7396077 7585720 9102864 9861436 10809651 11378580 12326795 14412868 14792154 15171440 18016085 19722872 21619302 22757160 24653590 28825736 29584308 36032170 36980385 39445744 43238604 45514320 46841821 49307180 54048255 57651472 59168616 72064340 73960770 86477208 93683642 98614360 108096510 118337232 140525463 144128680 147921540 172954416 187367284 197228720 216193020 234209105 281050926 288257360 295843080 374734568 432386040 468418210 562101852 591686160 702627315 749469136 864772080 936836420 1124203704 1405254630 1873672840 2248407408 2810509260 3747345680 5621018520 11242037040