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272029240 = 23571757149
BaseRepresentation
bin10000001101101…
…101011000111000
3200221212111222001
4100031231120320
51024114413430
642554310344
76512132110
oct2015553070
9627774861
10272029240
1112a60a65a
12771283b4
1344486662
14281b2040
1518d363ca
hex1036d638

272029240 has 64 divisors (see below), whose sum is σ = 740664000. Its totient is φ = 87779328.

The previous prime is 272029201. The next prime is 272029249. The reversal of 272029240 is 42920272.

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 = 272029199 and 272029208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272029249) 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 15 ways as a sum of consecutive naturals, for example, 23815 + ... + 33334.

It is an arithmetic number, because the mean of its divisors is an integer number (11572875).

Almost surely, 2272029240 is an apocalyptic number.

272029240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272029240 is an abundant number, since it is smaller than the sum of its proper divisors (468634760).

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

272029240 is a wasteful number, since it uses less digits than its factorization.

272029240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57184 (or 57180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 272029240 is about 16493.3089463576. The cubic root of 272029240 is about 647.9455766415.

The spelling of 272029240 in words is "two hundred seventy-two million, twenty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 57149 114298 228596 285745 400043 457192 571490 800086 971533 1142980 1600172 1943066 2000215 2285960 3200344 3886132 4000430 4857665 6800731 7772264 8000860 9715330 13601462 16001720 19430660 27202924 34003655 38861320 54405848 68007310 136014620 272029240