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5703270400 = 21652592
BaseRepresentation
bin1010100111111000…
…10000000000000000
3112201110201011012001
411103330100000000
543140014123100
62341532513344
7261221666332
oct52374200000
915643634161
105703270400
112467390513
12113201b854
136cb774719
143c164b452
15235a72d6a
hex153f10000

5703270400 has 153 divisors (see below), whose sum is σ = 14387794741. Its totient is φ = 2242641920.

The previous prime is 5703270389. The next prime is 5703270403. The reversal of 5703270400 is 40723075.

The square root of 5703270400 is 75520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2053177344 + 3650093056 = 45312^2 + 60416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5703270403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96665571 + ... + 96665629.

Almost surely, 25703270400 is an apocalyptic number.

5703270400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5703270400 is the 75520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5703270400

5703270400 is an abundant number, since it is smaller than the sum of its proper divisors (8684524341).

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

5703270400 is an frugal number, since it uses more digits than its factorization.

5703270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The cubic root of 5703270400 is about 1786.6575579348.

Adding to 5703270400 its reverse (40723075), we get a palindrome (5743993475).

The spelling of 5703270400 in words is "five billion, seven hundred three million, two hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 128 160 200 236 256 295 320 400 472 512 590 640 800 944 1024 1180 1280 1475 1600 1888 2048 2360 2560 2950 3200 3481 3776 4096 4720 5120 5900 6400 6962 7552 8192 9440 10240 11800 12800 13924 15104 16384 17405 18880 20480 23600 25600 27848 30208 32768 34810 37760 40960 47200 51200 55696 60416 65536 69620 75520 81920 87025 94400 102400 111392 120832 139240 151040 163840 174050 188800 204800 222784 241664 278480 302080 327680 348100 377600 409600 445568 483328 556960 604160 696200 755200 819200 891136 966656 1113920 1208320 1392400 1510400 1638400 1782272 1933312 2227840 2416640 2784800 3020800 3564544 3866624 4455680 4833280 5569600 6041600 7129088 8911360 9666560 11139200 12083200 14258176 17822720 19333120 22278400 24166400 28516352 35645440 44556800 48332800 57032704 71290880 89113600 96665600 114065408 142581760 178227200 228130816 285163520 356454400 570327040 712908800 1140654080 1425817600 2851635200 5703270400