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272173440 = 27357211263
BaseRepresentation
bin10000001110010…
…000100110000000
3200222010211202210
4100032100212000
51024134022230
643001342120
76513302400
oct2016204600
9628124683
10272173440
1112a6a8a30
1277197940
1344507196
142820c800
1518d63eb0
hex10390980

272173440 has 384 divisors, whose sum is σ = 1105125120. Its totient is φ = 56340480.

The previous prime is 272173411. The next prime is 272173453. The reversal of 272173440 is 44371272.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 272173398 and 272173407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034749 + ... + 1035011.

It is an arithmetic number, because the mean of its divisors is an integer number (2877930).

Almost surely, 2272173440 is an apocalyptic number.

272173440 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 272173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552562560).

272173440 is an abundant number, since it is smaller than the sum of its proper divisors (832951680).

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

272173440 is a wasteful number, since it uses less digits than its factorization.

272173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 272173440 is about 16497.6798368740. The cubic root of 272173440 is about 648.0600462571.

The spelling of 272173440 in words is "two hundred seventy-two million, one hundred seventy-three thousand, four hundred forty".