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253424280 = 233519412711
BaseRepresentation
bin11110001101011…
…11001010011000
3122122212021202110
433012233022120
51004334034110
641051432320
76165033204
oct1706571230
9578767673
10253424280
1112006245a
1270a556a0
13406711c5
142592bb04
15173ada20
hexf1af298

253424280 has 128 divisors (see below), whose sum is σ = 820108800. Its totient is φ = 62438400.

The previous prime is 253424263. The next prime is 253424291. The reversal of 253424280 is 82424352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92125 + ... + 94835.

It is an arithmetic number, because the mean of its divisors is an integer number (6407100).

Almost surely, 2253424280 is an apocalyptic number.

253424280 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 253424280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410054400).

253424280 is an abundant number, since it is smaller than the sum of its proper divisors (566684520).

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

253424280 is a wasteful number, since it uses less digits than its factorization.

253424280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 253424280 is about 15919.3052612229. The cubic root of 253424280 is about 632.8237069864.

The spelling of 253424280 in words is "two hundred fifty-three million, four hundred twenty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 41 57 60 76 82 95 114 120 123 152 164 190 205 228 246 285 328 380 410 456 492 570 615 760 779 820 984 1140 1230 1558 1640 2280 2337 2460 2711 3116 3895 4674 4920 5422 6232 7790 8133 9348 10844 11685 13555 15580 16266 18696 21688 23370 27110 31160 32532 40665 46740 51509 54220 65064 81330 93480 103018 108440 111151 154527 162660 206036 222302 257545 309054 325320 333453 412072 444604 515090 555755 618108 666906 772635 889208 1030180 1111510 1236216 1333812 1545270 1667265 2060360 2111869 2223020 2667624 3090540 3334530 4223738 4446040 6181080 6335607 6669060 8447476 10559345 12671214 13338120 16894952 21118690 25342428 31678035 42237380 50684856 63356070 84474760 126712140 253424280