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2053310400 = 263252142591
BaseRepresentation
bin111101001100011…
…0000011111000000
312022002122222100100
41322120300133000
513201121413100
6535425322400
7101611564461
oct17230603700
95262588310
102053310400
11964049549
12493796400
1326952148b
141569b4d68
15c03e3400
hex7a6307c0

2053310400 has 126 divisors (see below), whose sum is σ = 7298001152. Its totient is φ = 547545600.

The previous prime is 2053310393. The next prime is 2053310401. The reversal of 2053310400 is 40133502.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053310401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56896 + ... + 85695.

Almost surely, 22053310400 is an apocalyptic number.

2053310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053310400 is an abundant number, since it is smaller than the sum of its proper divisors (5244690752).

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

2053310400 is a wasteful number, since it uses less digits than its factorization.

2053310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142619 (or 142601 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2053310400 is about 45313.4681965528. The cubic root of 2053310400 is about 1271.0175159250.

Adding to 2053310400 its reverse (40133502), we get a palindrome (2093443902).

The spelling of 2053310400 in words is "two billion, fifty-three million, three hundred ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 142591 285182 427773 570364 712955 855546 1140728 1283319 1425910 1711092 2138865 2281456 2566638 2851820 3422184 3564775 4277730 4562912 5133276 5703640 6416595 6844368 7129550 8555460 9125824 10266552 10694325 11407280 12833190 13688736 14259100 17110920 20533104 21388650 22814560 25666380 27377472 28518200 32082975 34221840 41066208 42777300 45629120 51332760 57036400 64165950 68443680 82132416 85554600 102665520 114072800 128331900 136887360 171109200 205331040 228145600 256663800 342218400 410662080 513327600 684436800 1026655200 2053310400