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2053402380 = 2233531112227
BaseRepresentation
bin111101001100100…
…0110111100001100
312022002211122112000
41322121012330030
513201132334010
6535431312300
7101612426601
oct17231067414
95262748460
102053402380
11964101667
1249381b690
132695542c3
141569da6a8
15c04107c0
hex7a646f0c

2053402380 has 96 divisors (see below), whose sum is σ = 6409428480. Its totient is φ = 545768640.

The previous prime is 2053402369. The next prime is 2053402427. The reversal of 2053402380 is 832043502.

2053402380 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20534023802 = 8432922668379328800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161827 + ... + 174053.

It is an arithmetic number, because the mean of its divisors is an integer number (66764880).

Almost surely, 22053402380 is an apocalyptic number.

2053402380 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 2053402380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204714240).

2053402380 is an abundant number, since it is smaller than the sum of its proper divisors (4356026100).

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

2053402380 is a wasteful number, since it uses less digits than its factorization.

2053402380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12556 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2053402380 is about 45314.4831152249. The cubic root of 2053402380 is about 1271.0364944560.

Adding to 2053402380 its reverse (832043502), we get a palindrome (2885445882).

The spelling of 2053402380 in words is "two billion, fifty-three million, four hundred two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 311 540 622 933 1244 1555 1866 2799 3110 3732 4665 5598 6220 8397 9330 11196 12227 13995 16794 18660 24454 27990 33588 36681 41985 48908 55980 61135 73362 83970 110043 122270 146724 167940 183405 220086 244540 330129 366810 440172 550215 660258 733620 1100430 1320516 1650645 2200860 3301290 3802597 6602580 7605194 11407791 15210388 19012985 22815582 34223373 38025970 45631164 57038955 68446746 76051940 102670119 114077910 136893492 171116865 205340238 228155820 342233730 410680476 513350595 684467460 1026701190 2053402380