Search a number
-
+
272415270 = 23529521601
BaseRepresentation
bin10000001111001…
…011101000100110
3200222121010111110
4100033023220212
51024214242040
643010445450
76515330421
oct2017135046
9628533443
10272415270
1112a853696
1277293886
134459028a
14282729b8
1518db0980
hex103cba26

272415270 has 64 divisors (see below), whose sum is σ = 678767040. Its totient is φ = 69888000.

The previous prime is 272415263. The next prime is 272415271. The reversal of 272415270 is 72514272.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272415271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452970 + ... + 453570.

It is an arithmetic number, because the mean of its divisors is an integer number (10605735).

Almost surely, 2272415270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272415270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339383520).

272415270 is an abundant number, since it is smaller than the sum of its proper divisors (406351770).

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

272415270 is a wasteful number, since it uses less digits than its factorization.

272415270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161.

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 272415270 is about 16505.0074219917. The cubic root of 272415270 is about 648.2519263168.

The spelling of 272415270 in words is "two hundred seventy-two million, four hundred fifteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 521 601 870 1042 1202 1563 1803 2605 3005 3126 3606 5210 6010 7815 9015 15109 15630 17429 18030 30218 34858 45327 52287 75545 87145 90654 104574 151090 174290 226635 261435 313121 453270 522870 626242 939363 1565605 1878726 3131210 4696815 9080509 9393630 18161018 27241527 45402545 54483054 90805090 136207635 272415270