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1140943920 = 2435191511657
BaseRepresentation
bin100010000000001…
…0110110000110000
32221111212221211020
41010000112300300
54314040201140
6305114215440
740162602054
oct10400266060
92844787736
101140943920
11536040066
1227a124580
131524b805c
14ab759c64
156a2726d0
hex44016c30

1140943920 has 160 divisors (see below), whose sum is σ = 3749998080. Its totient is φ = 286156800.

The previous prime is 1140943907. The next prime is 1140943927. The reversal of 1140943920 is 293490411.

It is not an unprimeable number, because it can be changed into a prime (1140943927) 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, 687732 + ... + 689388.

It is an arithmetic number, because the mean of its divisors is an integer number (23437488).

Almost surely, 21140943920 is an apocalyptic number.

1140943920 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 1140943920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874999040).

1140943920 is an abundant number, since it is smaller than the sum of its proper divisors (2609054160).

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

1140943920 is a wasteful number, since it uses less digits than its factorization.

1140943920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1140943920 is about 33777.8613887854. The cubic root of 1140943920 is about 1044.9321690059.

The spelling of 1140943920 in words is "one billion, one hundred forty million, nine hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 151 152 190 228 240 285 302 304 380 453 456 570 604 755 760 906 912 1140 1208 1510 1520 1657 1812 2265 2280 2416 2869 3020 3314 3624 4530 4560 4971 5738 6040 6628 7248 8285 8607 9060 9942 11476 12080 13256 14345 16570 17214 18120 19884 22952 24855 26512 28690 31483 33140 34428 36240 39768 43035 45904 49710 57380 62966 66280 68856 79536 86070 94449 99420 114760 125932 132560 137712 157415 172140 188898 198840 229520 250207 251864 314830 344280 377796 397680 472245 500414 503728 629660 688560 750621 755592 944490 1000828 1251035 1259320 1501242 1511184 1888980 2001656 2502070 2518640 3002484 3753105 3777960 4003312 4753933 5004140 6004968 7506210 7555920 9507866 10008280 12009936 14261799 15012420 19015732 20016560 23769665 28523598 30024840 38031464 47539330 57047196 60049680 71308995 76062928 95078660 114094392 142617990 190157320 228188784 285235980 380314640 570471960 1140943920