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272558040 = 233519173691
BaseRepresentation
bin10000001111101…
…110011111011000
3200222212101100020
4100033232133120
51024233324130
643013510440
76516463566
oct2017563730
9628771306
10272558040
1112a940987
1277342420
1344610261
14282aca36
1518ddce10
hex103ee7d8

272558040 has 128 divisors (see below), whose sum is σ = 866937600. Its totient is φ = 68359680.

The previous prime is 272558023. The next prime is 272558051. The reversal of 272558040 is 40855272.

It is a junction number, because it is equal to n+sod(n) for n = 272557992 and 272558010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394095 + ... + 394785.

It is an arithmetic number, because the mean of its divisors is an integer number (6772950).

Almost surely, 2272558040 is an apocalyptic number.

272558040 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 272558040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433468800).

272558040 is an abundant number, since it is smaller than the sum of its proper divisors (594379560).

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

272558040 is a wasteful number, since it uses less digits than its factorization.

272558040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 272558040 is about 16509.3319065309. The cubic root of 272558040 is about 648.3651538951.

The spelling of 272558040 in words is "two hundred seventy-two million, five hundred fifty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 173 190 228 285 346 380 456 519 570 691 692 760 865 1038 1140 1382 1384 1730 2073 2076 2280 2595 2764 3287 3455 3460 4146 4152 5190 5528 6574 6910 6920 8292 9861 10365 10380 13129 13148 13820 16435 16584 19722 20730 20760 26258 26296 27640 32870 39387 39444 41460 49305 52516 65645 65740 78774 78888 82920 98610 105032 119543 131290 131480 157548 196935 197220 239086 262580 315096 358629 393870 394440 478172 525160 597715 717258 787740 956344 1195430 1434516 1575480 1793145 2271317 2390860 2869032 3586290 4542634 4781720 6813951 7172580 9085268 11356585 13627902 14345160 18170536 22713170 27255804 34069755 45426340 54511608 68139510 90852680 136279020 272558040