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253269720 = 233351121319
BaseRepresentation
bin11110001100010…
…01011011011000
3122122120102202000
433012021123120
51004314112340
641044241000
76163520454
oct1706113330
9578512660
10253269720
1111aa67320
12709a0160
1340618a52
14258cb664
151737cd30
hexf1896d8

253269720 has 128 divisors (see below), whose sum is σ = 921024000. Its totient is φ = 61395840.

The previous prime is 253269661. The next prime is 253269727. The reversal of 253269720 is 27962352.

253269720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253269727) 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, 1221 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (7195500).

Almost surely, 2253269720 is an apocalyptic number.

253269720 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 253269720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460512000).

253269720 is an abundant number, since it is smaller than the sum of its proper divisors (667754280).

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

253269720 is a wasteful number, since it uses less digits than its factorization.

253269720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21350 (or 21340 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 253269720 is about 15914.4500376230. The cubic root of 253269720 is about 632.6950306509.

The spelling of 253269720 in words is "two hundred fifty-three million, two hundred sixty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 21319 42638 63957 85276 106595 127914 170552 191871 213190 234509 255828 319785 383742 426380 469018 511656 575613 639570 703527 767484 852760 938036 959355 1151226 1172545 1279140 1407054 1534968 1876072 1918710 2110581 2302452 2345090 2558280 2814108 2878065 3517635 3837420 4221162 4604904 4690180 5628216 5756130 6331743 7035270 7674840 8442324 9380360 10552905 11512260 12663486 14070540 16884648 21105810 23024520 25326972 28141080 31658715 42211620 50653944 63317430 84423240 126634860 253269720