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5366900 = 22527111741
BaseRepresentation
bin10100011110010001110100
3101002200000002
4110132101310
52333220100
6311010432
763421640
oct24362164
911080002
105366900
113036260
121969a18
13115baa6
149d9c20
157102d5
hex51e474

5366900 has 144 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1536000.

The previous prime is 5366891. The next prime is 5366903. The reversal of 5366900 is 96635.

It is a super-2 number, since 2×53669002 = 57607231220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5366903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130880 + ... + 130920.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 25366900 is an apocalyptic number.

5366900 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 5366900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5366900 is an abundant number, since it is smaller than the sum of its proper divisors (10382092).

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

5366900 is a wasteful number, since it uses less digits than its factorization.

5366900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 5366900 is about 2316.6570743207. The cubic root of 5366900 is about 175.0818664581.

The spelling of 5366900 in words is "five million, three hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 41 44 50 55 68 70 77 82 85 100 110 119 140 154 164 170 175 187 205 220 238 275 287 308 340 350 374 385 410 425 451 476 550 574 595 697 700 748 770 820 850 902 935 1025 1100 1148 1190 1309 1394 1435 1540 1700 1804 1870 1925 2050 2255 2380 2618 2788 2870 2975 3157 3485 3740 3850 4100 4510 4675 4879 5236 5740 5950 6314 6545 6970 7175 7667 7700 9020 9350 9758 11275 11900 12628 13090 13940 14350 15334 15785 17425 18700 19516 22550 24395 26180 28700 30668 31570 32725 34850 38335 45100 48790 53669 63140 65450 69700 76670 78925 97580 107338 121975 130900 153340 157850 191675 214676 243950 268345 315700 383350 487900 536690 766700 1073380 1341725 2683450 5366900