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1101042240 = 26352414759
BaseRepresentation
bin100000110100000…
…1001001001000000
32211201210202000020
41001220021021000
54223331322430
6301131053440
736166463454
oct10150111100
92751722006
101101042240
11515567371
122688a1280
131471571ac
14a6330664
15669deb10
hex41a09240

1101042240 has 112 divisors (see below), whose sum is σ = 3511052160. Its totient is φ = 292331520.

The previous prime is 1101042233. The next prime is 1101042251. The reversal of 1101042240 is 422401011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228981 + ... + 233739.

It is an arithmetic number, because the mean of its divisors is an integer number (31348680).

Almost surely, 21101042240 is an apocalyptic number.

1101042240 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 1101042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755526080).

1101042240 is an abundant number, since it is smaller than the sum of its proper divisors (2410009920).

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

1101042240 is a wasteful number, since it uses less digits than its factorization.

1101042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1101042240 is about 33181.9565426754. The cubic root of 1101042240 is about 1032.6060378835.

Adding to 1101042240 its reverse (422401011), we get a palindrome (1523443251).

The spelling of 1101042240 in words is "one billion, one hundred one million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 241 320 480 482 723 960 964 1205 1446 1928 2410 2892 3615 3856 4759 4820 5784 7230 7712 9518 9640 11568 14277 14460 15424 19036 19280 23136 23795 28554 28920 38072 38560 46272 47590 57108 57840 71385 76144 77120 95180 114216 115680 142770 152288 190360 228432 231360 285540 304576 380720 456864 571080 761440 913728 1142160 1146919 1522880 2284320 2293838 3440757 4568640 4587676 5734595 6881514 9175352 11469190 13763028 17203785 18350704 22938380 27526056 34407570 36701408 45876760 55052112 68815140 73402816 91753520 110104224 137630280 183507040 220208448 275260560 367014080 550521120 1101042240