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272373104 = 24291314481
BaseRepresentation
bin10000001111000…
…001010101110000
3200222111222122202
4100033001111300
51024211414404
643005522332
76515063453
oct2017012560
9628458582
10272373104
1112a824a43
12772733a8
1344577023
142826149a
1518da321e
hex103c1570

272373104 has 40 divisors (see below), whose sum is σ = 550210320. Its totient is φ = 130457600.

The previous prime is 272373083. The next prime is 272373109. The reversal of 272373104 is 401373272.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272373109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58544 + ... + 63024.

It is an arithmetic number, because the mean of its divisors is an integer number (13755258).

Almost surely, 2272373104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272373104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275105160).

272373104 is an abundant number, since it is smaller than the sum of its proper divisors (277837216).

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

272373104 is a wasteful number, since it uses less digits than its factorization.

272373104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 272373104 is about 16503.7300026388. The cubic root of 272373104 is about 648.2184778723.

The spelling of 272373104 in words is "two hundred seventy-two million, three hundred seventy-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 131 232 262 464 524 1048 2096 3799 4481 7598 8962 15196 17924 30392 35848 60784 71696 129949 259898 519796 587011 1039592 1174022 2079184 2348044 4696088 9392176 17023319 34046638 68093276 136186552 272373104