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2406020240 = 245134749223
BaseRepresentation
bin1000111101101000…
…1111010010010000
320012200100111021202
42033122033102100
514411420121430
61034425210332
7113423556161
oct21732172220
96180314252
102406020240
111025154688
125719309a8
132c4615c20
1418b789768
15e1364d45
hex8f68f490

2406020240 has 80 divisors (see below), whose sum is σ = 6152606208. Its totient is φ = 869457408.

The previous prime is 2406020231. The next prime is 2406020249. The reversal of 2406020240 is 420206042.

It is an interprime number because it is at equal distance from previous prime (2406020231) and next prime (2406020249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2406020249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24269 + ... + 73491.

Almost surely, 22406020240 is an apocalyptic number.

2406020240 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 2406020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076303104).

2406020240 is an abundant number, since it is smaller than the sum of its proper divisors (3746585968).

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

2406020240 is a wasteful number, since it uses less digits than its factorization.

2406020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49296 (or 49290 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2406020240 is about 49051.2001891901. The cubic root of 2406020240 is about 1339.9844506995.

Adding to 2406020240 its reverse (420206042), we get a palindrome (2826226282).

The spelling of 2406020240 in words is "two billion, four hundred six million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 470 520 611 752 940 1040 1222 1880 2444 3055 3760 4888 6110 9776 12220 24440 48880 49223 98446 196892 246115 393784 492230 639899 787568 984460 1279798 1968920 2313481 2559596 3199495 3937840 4626962 5119192 6398990 9253924 10238384 11567405 12797980 18507848 23134810 25595960 30075253 37015696 46269620 51191920 60150506 92539240 120301012 150376265 185078480 240602024 300752530 481204048 601505060 1203010120 2406020240