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253363000 = 23531131743
BaseRepresentation
bin11110001101000…
…00001100111000
3122122202011200211
433012200030320
51004330104000
641050240504
76164356432
oct1706401470
9578664624
10253363000
11120020410
1270a26134
134064c347
1425913652
151739a7ba
hexf1a0338

253363000 has 128 divisors (see below), whose sum is σ = 668528640. Its totient is φ = 89040000.

The previous prime is 253362997. The next prime is 253363007. The reversal of 253363000 is 363352.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253363007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340629 + ... + 341371.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2253363000 is an apocalyptic number.

253363000 is a gapful number since it is divisible by the number (20) 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 253363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

253363000 is an abundant number, since it is smaller than the sum of its proper divisors (415165640).

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

253363000 is a wasteful number, since it uses less digits than its factorization.

253363000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 253363000 is about 15917.3804377479. The cubic root of 253363000 is about 632.7726956115.

The spelling of 253363000 in words is "two hundred fifty-three million, three hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 743 775 1000 1100 1240 1364 1375 1486 1550 1705 2200 2728 2750 2972 3100 3410 3715 3875 5500 5944 6200 6820 7430 7750 8173 8525 11000 13640 14860 15500 16346 17050 18575 23033 29720 31000 32692 34100 37150 40865 42625 46066 65384 68200 74300 81730 85250 92132 92875 115165 148600 163460 170500 184264 185750 204325 230330 253363 326920 341000 371500 408650 460660 506726 575825 743000 817300 921320 1013452 1021625 1151650 1266815 1634600 2026904 2043250 2303300 2533630 2879125 4086500 4606600 5067260 5758250 6334075 8173000 10134520 11516500 12668150 23033000 25336300 31670375 50672600 63340750 126681500 253363000