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272064520 = 235713411823
BaseRepresentation
bin10000001101110…
…110000000001000
3200221221022100201
4100031312000020
51024122031040
642555141544
76512340010
oct2015660010
9627838321
10272064520
1112a634112
12771448b4
1344499730
14281c0c40
1518d41a9a
hex10376008

272064520 has 128 divisors (see below), whose sum is σ = 772208640. Its totient is φ = 83957760.

The previous prime is 272064511. The next prime is 272064523. The reversal of 272064520 is 25460272.

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

It is not an unprimeable number, because it can be changed into a prime (272064523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148329 + ... + 150151.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2272064520 is an apocalyptic number.

272064520 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 272064520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

272064520 is an abundant number, since it is smaller than the sum of its proper divisors (500144120).

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

272064520 is a wasteful number, since it uses less digits than its factorization.

272064520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 272064520 is about 16494.3784363037. The cubic root of 272064520 is about 647.9735865370.

The spelling of 272064520 in words is "two hundred seventy-two million, sixty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 56 65 70 82 91 104 130 140 164 182 205 260 280 287 328 364 410 455 520 533 574 728 820 910 1066 1148 1435 1640 1820 1823 2132 2296 2665 2870 3640 3646 3731 4264 5330 5740 7292 7462 9115 10660 11480 12761 14584 14924 18230 18655 21320 23699 25522 29848 36460 37310 47398 51044 63805 72920 74620 74743 94796 102088 118495 127610 149240 149486 165893 189592 236990 255220 298972 331786 373715 473980 510440 523201 597944 663572 747430 829465 947960 971659 1046402 1327144 1494860 1658930 1943318 2092804 2616005 2989720 3317860 3886636 4185608 4858295 5232010 6635720 6801613 7773272 9716590 10464020 13603226 19433180 20928040 27206452 34008065 38866360 54412904 68016130 136032260 272064520