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272054440 = 23574012423
BaseRepresentation
bin10000001101110…
…011100010101000
3200221220210112101
4100031303202220
51024121220230
642555023144
76512265430
oct2015634250
9627823471
10272054440
1112a627589
127713aab4
1344494c78
14281bb2c0
1518d3daca
hex103738a8

272054440 has 64 divisors (see below), whose sum is σ = 701602560. Its totient is φ = 93004800.

The previous prime is 272054411. The next prime is 272054473. The reversal of 272054440 is 44450272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 272054399 and 272054408.

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, 111069 + ... + 113491.

It is an arithmetic number, because the mean of its divisors is an integer number (10962540).

Almost surely, 2272054440 is an apocalyptic number.

272054440 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 272054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350801280).

272054440 is an abundant number, since it is smaller than the sum of its proper divisors (429548120).

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

272054440 is a wasteful number, since it uses less digits than its factorization.

272054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 272054440 is about 16494.0728748239. The cubic root of 272054440 is about 647.9655839568.

The spelling of 272054440 in words is "two hundred seventy-two million, fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 401 802 1604 2005 2423 2807 3208 4010 4846 5614 8020 9692 11228 12115 14035 16040 16961 19384 22456 24230 28070 33922 48460 56140 67844 84805 96920 112280 135688 169610 339220 678440 971623 1943246 3886492 4858115 6801361 7772984 9716230 13602722 19432460 27205444 34006805 38864920 54410888 68013610 136027220 272054440