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1013014240 = 25572157823
BaseRepresentation
bin111100011000010…
…101111011100000
32121121011110021221
4330120111323200
54033312423430
6244304224424
734050323200
oct7430257340
92547143257
101013014240
1147a902657
1224330b114
13131b45a14
1498778400
155de0257a
hex3c615ee0

1013014240 has 144 divisors (see below), whose sum is σ = 2805116832. Its totient is φ = 344687616.

The previous prime is 1013014217. The next prime is 1013014243. The reversal of 1013014240 is 424103101.

1013014240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013014243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230469 + ... + 1231291.

It is an arithmetic number, because the mean of its divisors is an integer number (19479978).

Almost surely, 21013014240 is an apocalyptic number.

1013014240 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 1013014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402558416).

1013014240 is an abundant number, since it is smaller than the sum of its proper divisors (1792102592).

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

1013014240 is a wasteful number, since it uses less digits than its factorization.

1013014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1013014240 is about 31827.8846296765. The cubic root of 1013014240 is about 1004.3193959560.

Adding to 1013014240 its reverse (424103101), we get a palindrome (1437117341).

The spelling of 1013014240 in words is "one billion, thirteen million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 157 160 196 224 245 280 314 392 490 560 628 784 785 823 980 1099 1120 1256 1568 1570 1646 1960 2198 2512 3140 3292 3920 4115 4396 5024 5495 5761 6280 6584 7693 7840 8230 8792 10990 11522 12560 13168 15386 16460 17584 21980 23044 25120 26336 28805 30772 32920 35168 38465 40327 43960 46088 57610 61544 65840 76930 80654 87920 92176 115220 123088 129211 131680 153860 161308 175840 184352 201635 230440 246176 258422 307720 322616 403270 460880 516844 615440 645232 646055 806540 904477 921760 1033688 1230880 1290464 1292110 1613080 1808954 2067376 2584220 3226160 3617908 4134752 4522385 5168440 6331339 6452320 7235816 9044770 10336880 12662678 14471632 18089540 20673760 25325356 28943264 31656695 36179080 50650712 63313390 72358160 101301424 126626780 144716320 202602848 253253560 506507120 1013014240