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2401240000 = 2654173347
BaseRepresentation
bin1000111100100000…
…0000001111000000
320012100100122000211
42033020000033000
514404204140000
61034134523504
7113335126465
oct21710001700
96170318024
102401240000
11102248a175
12570206594
132c3631193
1418aca366c
15e0c1d7ba
hex8f2003c0

2401240000 has 140 divisors (see below), whose sum is σ = 6005971224. Its totient is φ = 952192000.

The previous prime is 2401239979. The next prime is 2401240003. The reversal of 2401240000 is 421042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6919827 + ... + 6920173.

Almost surely, 22401240000 is an apocalyptic number.

2401240000 is a gapful number since it is divisible by the number (20) 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 2401240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002985612).

2401240000 is an abundant number, since it is smaller than the sum of its proper divisors (3604731224).

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

2401240000 is an equidigital number, since it uses as much as digits as its factorization.

2401240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2401240000 is about 49002.4489183959. The cubic root of 2401240000 is about 1339.0964429249.

Adding to 2401240000 its reverse (421042), we get a palindrome (2401661042).

The spelling of 2401240000 in words is "two billion, four hundred one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 173 200 250 320 346 347 400 500 625 692 694 800 865 1000 1250 1384 1388 1600 1730 1735 2000 2500 2768 2776 3460 3470 4000 4325 5000 5536 5552 6920 6940 8000 8650 8675 10000 11072 11104 13840 13880 17300 17350 20000 21625 22208 27680 27760 34600 34700 40000 43250 43375 55360 55520 60031 69200 69400 86500 86750 108125 111040 120062 138400 138800 173000 173500 216250 216875 240124 276800 277600 300155 346000 347000 432500 433750 480248 555200 600310 692000 694000 865000 867500 960496 1200620 1384000 1388000 1500775 1730000 1735000 1920992 2401240 2776000 3001550 3460000 3470000 3841984 4802480 6003100 6920000 6940000 7503875 9604960 12006200 13880000 15007750 19209920 24012400 30015500 37519375 48024800 60031000 75038750 96049600 120062000 150077500 240124000 300155000 480248000 600310000 1200620000 2401240000