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253375000 = 23562027
BaseRepresentation
bin11110001101000…
…11001000011000
3122122202210011021
433012203020120
51004331000000
641050412224
76164436424
oct1706431030
9578683137
10253375000
1112002942a
1270a31074
1340654948
1425917b84
151739e11a
hexf1a3218

253375000 has 56 divisors (see below), whose sum is σ = 594133020. Its totient is φ = 101300000.

The previous prime is 253374991. The next prime is 253375007. The reversal of 253375000 is 573352.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253375007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 123987 + ... + 126013.

Almost surely, 2253375000 is an apocalyptic number.

253375000 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 253375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297066510).

253375000 is an abundant number, since it is smaller than the sum of its proper divisors (340758020).

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

253375000 is an frugal number, since it uses more digits than its factorization.

253375000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 25.

The square root of 253375000 is about 15917.7573797316. The cubic root of 253375000 is about 632.7826854317.

The spelling of 253375000 in words is "two hundred fifty-three million, three hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2027 2500 3125 4054 5000 6250 8108 10135 12500 15625 16216 20270 25000 31250 40540 50675 62500 81080 101350 125000 202700 253375 405400 506750 1013500 1266875 2027000 2533750 5067500 6334375 10135000 12668750 25337500 31671875 50675000 63343750 126687500 253375000