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5672100 = 2235273773
BaseRepresentation
bin10101101000110010100100
3101200011122210
4111220302210
52423001400
6321323420
766132510
oct25506244
911604583
105672100
113224595
121a96570
131237995
14a79140
15770950
hex568ca4

5672100 has 144 divisors (see below), whose sum is σ = 19526528. Its totient is φ = 1244160.

The previous prime is 5672071. The next prime is 5672111. The reversal of 5672100 is 12765.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77664 + ... + 77736.

Almost surely, 25672100 is an apocalyptic number.

5672100 is a gapful number since it is divisible by the number (50) 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 5672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763264).

5672100 is an abundant number, since it is smaller than the sum of its proper divisors (13854428).

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

5672100 is a wasteful number, since it uses less digits than its factorization.

5672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5672100 is about 2381.6170976880. The cubic root of 5672100 is about 178.3396703914.

Adding to 5672100 its reverse (12765), we get a palindrome (5684865).

The spelling of 5672100 in words is "five million, six hundred seventy-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 73 74 75 84 100 105 111 140 146 148 150 175 185 210 219 222 259 292 300 350 365 370 420 438 444 511 518 525 555 700 730 740 777 876 925 1022 1036 1050 1095 1110 1295 1460 1533 1554 1825 1850 2044 2100 2190 2220 2555 2590 2701 2775 3066 3108 3650 3700 3885 4380 5110 5180 5402 5475 5550 6132 6475 7300 7665 7770 8103 10220 10804 10950 11100 12775 12950 13505 15330 15540 16206 18907 19425 21900 25550 25900 27010 30660 32412 37814 38325 38850 40515 51100 54020 56721 67525 75628 76650 77700 81030 94535 113442 135050 153300 162060 189070 202575 226884 270100 283605 378140 405150 472675 567210 810300 945350 1134420 1418025 1890700 2836050 5672100