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1042240440 = 2335193071489
BaseRepresentation
bin111110000111110…
…101001110111000
32200122011022002210
4332013311032320
54113303143230
6251230455120
734553616603
oct7607651670
92618138083
101042240440
1149535473a
122510644a0
13137c09727
149c5c533a
1561776eb0
hex3e1f53b8

1042240440 has 128 divisors (see below), whose sum is σ = 3304224000. Its totient is φ = 262268928.

The previous prime is 1042240439. The next prime is 1042240447. The reversal of 1042240440 is 440422401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042240447) 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, 699216 + ... + 700704.

It is an arithmetic number, because the mean of its divisors is an integer number (25814250).

Almost surely, 21042240440 is an apocalyptic number.

1042240440 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 1042240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652112000).

1042240440 is an abundant number, since it is smaller than the sum of its proper divisors (2261983560).

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

1042240440 is a wasteful number, since it uses less digits than its factorization.

1042240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1042240440 is about 32283.7488529446. The cubic root of 1042240440 is about 1013.8864213825.

Adding to 1042240440 its reverse (440422401), we get a palindrome (1482662841).

The spelling of 1042240440 in words is "one billion, forty-two million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 307 380 456 570 614 760 921 1140 1228 1489 1535 1842 2280 2456 2978 3070 3684 4467 4605 5833 5956 6140 7368 7445 8934 9210 11666 11912 12280 14890 17499 17868 18420 22335 23332 28291 29165 29780 34998 35736 36840 44670 46664 56582 58330 59560 69996 84873 87495 89340 113164 116660 139992 141455 169746 174990 178680 226328 233320 282910 339492 349980 424365 457123 565820 678984 699960 848730 914246 1131640 1371369 1697460 1828492 2285615 2742738 3394920 3656984 4571230 5485476 6856845 8685337 9142460 10970952 13713690 17370674 18284920 26056011 27427380 34741348 43426685 52112022 54854760 69482696 86853370 104224044 130280055 173706740 208448088 260560110 347413480 521120220 1042240440