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2053418700 = 2235215743597
BaseRepresentation
bin111101001100100…
…1010111011001100
312022002212110220110
41322121022323030
513201133344300
6535431520020
7101612525304
oct17231127314
95262773813
102053418700
11964112953
12493829010
1326955b868
14156a02604
15c0415550
hex7a64aecc

2053418700 has 72 divisors (see below), whose sum is σ = 5979204112. Its totient is φ = 544078080.

The previous prime is 2053418687. The next prime is 2053418737. The reversal of 2053418700 is 78143502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25302 + ... + 68898.

Almost surely, 22053418700 is an apocalyptic number.

2053418700 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 2053418700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989602056).

2053418700 is an abundant number, since it is smaller than the sum of its proper divisors (3925785412).

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

2053418700 is a wasteful number, since it uses less digits than its factorization.

2053418700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43771 (or 43764 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2053418700 is about 45314.6631897447. The cubic root of 2053418700 is about 1271.0398617552.

The spelling of 2053418700 in words is "two billion, fifty-three million, four hundred eighteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 7850 9420 11775 15700 23550 43597 47100 87194 130791 174388 217985 261582 435970 523164 653955 871940 1089925 1307910 2179850 2615820 3269775 4359700 6539550 6844729 13079100 13689458 20534187 27378916 34223645 41068374 68447290 82136748 102670935 136894580 171118225 205341870 342236450 410683740 513354675 684472900 1026709350 2053418700