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2030040432 = 2432717911251
BaseRepresentation
bin111100011111111…
…1111010101110000
312020110212201221200
41320333333111300
513124142243212
6533234451200
7101210026140
oct17077772560
95213781850
102030040432
119519a5472
12487a33b00
13264764874
14153878920
15bd3486dc
hex78fff570

2030040432 has 120 divisors (see below), whose sum is σ = 6529760640. Its totient is φ = 576720000.

The previous prime is 2030040359. The next prime is 2030040451. The reversal of 2030040432 is 2340400302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174807 + ... + 186057.

It is an arithmetic number, because the mean of its divisors is an integer number (54414672).

Almost surely, 22030040432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264880320).

2030040432 is an abundant number, since it is smaller than the sum of its proper divisors (4499720208).

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

2030040432 is a wasteful number, since it uses less digits than its factorization.

2030040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11451 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2030040432 is about 45055.9699928877. The cubic root of 2030040432 is about 1266.1978232830.

Adding to 2030040432 its reverse (2340400302), we get a palindrome (4370440734).

The spelling of 2030040432 in words is "two billion, thirty million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 179 252 336 358 504 537 716 1008 1074 1253 1432 1611 2148 2506 2864 3222 3759 4296 5012 6444 7518 8592 10024 11251 11277 12888 15036 20048 22502 22554 25776 30072 33753 45004 45108 60144 67506 78757 90008 90216 101259 135012 157514 180016 180432 202518 236271 270024 315028 405036 472542 540048 630056 708813 810072 945084 1260112 1417626 1620144 1890168 2013929 2835252 3780336 4027858 5670504 6041787 8055716 11341008 12083574 14097503 16111432 18125361 24167148 28195006 32222864 36250722 42292509 48334296 56390012 72501444 84585018 96668592 112780024 126877527 145002888 169170036 225560048 253755054 290005776 338340072 507510108 676680144 1015020216 2030040432