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5142900 = 2235273179
BaseRepresentation
bin10011100111100101110100
3100200021201210
4103213211310
52304033100
6302121420
761466610
oct23474564
910607653
105142900
1129a2a34
121880270
1310b0b49
1497c340
156b8c50
hex4e7974

5142900 has 144 divisors (see below), whose sum is σ = 17776640. Its totient is φ = 1123200.

The previous prime is 5142899. The next prime is 5142911. The reversal of 5142900 is 92415.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65061 + ... + 65139.

Almost surely, 25142900 is an apocalyptic number.

5142900 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 5142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8888320).

5142900 is an abundant number, since it is smaller than the sum of its proper divisors (12633740).

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

5142900 is a wasteful number, since it uses less digits than its factorization.

5142900 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5142900 is about 2267.7962871475. The cubic root of 5142900 is about 172.6113542728.

The spelling of 5142900 in words is "five million, one hundred forty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 79 84 93 100 105 124 140 150 155 158 175 186 210 217 237 300 310 316 350 372 395 420 434 465 474 525 553 620 651 700 775 790 868 930 948 1050 1085 1106 1185 1302 1550 1580 1659 1860 1975 2100 2170 2212 2325 2370 2449 2604 2765 3100 3255 3318 3950 4340 4650 4740 4898 5425 5530 5925 6510 6636 7347 7900 8295 9300 9796 10850 11060 11850 12245 13020 13825 14694 16275 16590 17143 21700 23700 24490 27650 29388 32550 33180 34286 36735 41475 48980 51429 55300 61225 65100 68572 73470 82950 85715 102858 122450 146940 165900 171430 183675 205716 244900 257145 342860 367350 428575 514290 734700 857150 1028580 1285725 1714300 2571450 5142900