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272153420 = 225711792237
BaseRepresentation
bin10000001110001…
…011101101001100
3200222002211022022
4100032023231030
51024132402140
643001105312
76513160130
oct2016135514
9628084268
10272153420
1112a694990
1277188238
13444cb036
14282053c0
1518d5d0b5
hex1038bb4c

272153420 has 96 divisors (see below), whose sum is σ = 721889280. Its totient is φ = 83715840.

The previous prime is 272153419. The next prime is 272153461. The reversal of 272153420 is 24351272.

It is a self number, because there is not a number n which added to its sum of digits gives 272153420.

It is an unprimeable number.

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, 120542 + ... + 122778.

It is an arithmetic number, because the mean of its divisors is an integer number (7519680).

Almost surely, 2272153420 is an apocalyptic number.

272153420 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 272153420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360944640).

272153420 is an abundant number, since it is smaller than the sum of its proper divisors (449735860).

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

272153420 is a wasteful number, since it uses less digits than its factorization.

272153420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 272153420 is about 16497.0730737304. The cubic root of 272153420 is about 648.0441562909.

The spelling of 272153420 in words is "two hundred seventy-two million, one hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 79 110 140 154 158 220 308 316 385 395 553 770 790 869 1106 1540 1580 1738 2212 2237 2765 3476 4345 4474 5530 6083 8690 8948 11060 11185 12166 15659 17380 22370 24332 24607 30415 31318 44740 49214 60830 62636 78295 98428 121660 123035 156590 172249 176723 246070 313180 344498 353446 492140 688996 706892 861245 883615 1237061 1722490 1767230 1943953 2474122 3444980 3534460 3887906 4948244 6185305 7775812 9719765 12370610 13607671 19439530 24741220 27215342 38879060 54430684 68038355 136076710 272153420