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253351320 = 233519111119
BaseRepresentation
bin11110001100111…
…01010110011000
3122122201120200020
433012131112120
51004324220240
641050110440
76164310405
oct1706352630
9578646606
10253351320
11120012662
1270a1b420
1340646c31
142590d2ac
15173970d0
hexf19d598

253351320 has 64 divisors (see below), whose sum is σ = 800064000. Its totient is φ = 64003968.

The previous prime is 253351297. The next prime is 253351349. The reversal of 253351320 is 23153352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53280 + ... + 57839.

It is an arithmetic number, because the mean of its divisors is an integer number (12501000).

Almost surely, 2253351320 is an apocalyptic number.

253351320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253351320 is an abundant number, since it is smaller than the sum of its proper divisors (546712680).

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

253351320 is a wasteful number, since it uses less digits than its factorization.

253351320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111152 (or 111148 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 253351320 is about 15917.0135389777. The cubic root of 253351320 is about 632.7629718835.

The spelling of 253351320 in words is "two hundred fifty-three million, three hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 111119 222238 333357 444476 555595 666714 888952 1111190 1333428 1666785 2111261 2222380 2666856 3333570 4222522 4444760 6333783 6667140 8445044 10556305 12667566 13334280 16890088 21112610 25335132 31668915 42225220 50670264 63337830 84450440 126675660 253351320