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4240097010 = 233547674987
BaseRepresentation
bin1111110010111010…
…1011111011110010
3101221111111020122000
43330232223323302
532140431101020
61540423554430
7210034141602
oct37456537362
911844436560
104240097010
111886473706
129a3bbba16
135275a7756
142c31b2c02
1519c3a0090
hexfcbabef2

4240097010 has 128 divisors (see below), whose sum is σ = 11722199040. Its totient is φ = 1089899712.

The previous prime is 4240097003. The next prime is 4240097011. The reversal of 4240097010 is 107900424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4240097011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847737 + ... + 852723.

It is an arithmetic number, because the mean of its divisors is an integer number (91579680).

Almost surely, 24240097010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240097010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861099520).

4240097010 is an abundant number, since it is smaller than the sum of its proper divisors (7482102030).

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

4240097010 is a wasteful number, since it uses less digits than its factorization.

4240097010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4240097010 is about 65116.0272897541. The cubic root of 4240097010 is about 1618.5468106893.

Adding to 4240097010 its reverse (107900424), we get a palindrome (4347997434).

The spelling of 4240097010 in words is "four billion, two hundred forty million, ninety-seven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 67 90 94 134 135 141 201 235 270 282 335 402 423 470 603 670 705 846 1005 1206 1269 1410 1809 2010 2115 2538 3015 3149 3618 4230 4987 6030 6298 6345 9045 9447 9974 12690 14961 15745 18090 18894 24935 28341 29922 31490 44883 47235 49870 56682 74805 85023 89766 94470 134649 141705 149610 170046 224415 234389 269298 283410 334129 425115 448830 468778 668258 673245 703167 850230 1002387 1171945 1346490 1406334 1670645 2004774 2109501 2343890 3007161 3341290 3515835 4219002 5011935 6014322 6328503 7031670 9021483 10023870 10547505 12657006 15035805 15704063 18042966 21095010 30071610 31408126 31642515 45107415 47112189 63285030 78520315 90214830 94224378 141336567 157040630 235560945 282673134 424009701 471121890 706682835 848019402 1413365670 2120048505 4240097010