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4936140 = 2234511277
BaseRepresentation
bin10010110101000111001100
3100021210010000
4102311013030
52230424030
6253444300
756646036
oct22650714
910253100
104936140
112871660
1217a0690
13103a9c1
14926c56
15677860
hex4b51cc

4936140 has 120 divisors (see below), whose sum is σ = 16953552. Its totient is φ = 1192320.

The previous prime is 4936123. The next prime is 4936153. The reversal of 4936140 is 416394.

4936140 is a `hidden beast` number, since 49 + 3 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 17682 + ... + 17958.

Almost surely, 24936140 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 4936140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476776).

4936140 is an abundant number, since it is smaller than the sum of its proper divisors (12017412).

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

4936140 is a wasteful number, since it uses less digits than its factorization.

4936140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4936140 is about 2221.7425593439. The cubic root of 4936140 is about 170.2664794155.

The spelling of 4936140 in words is "four million, nine hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 277 297 324 330 396 405 495 540 554 594 660 810 831 891 990 1108 1188 1385 1485 1620 1662 1782 1980 2493 2770 2970 3047 3324 3564 4155 4455 4986 5540 5940 6094 7479 8310 8910 9141 9972 12188 12465 14958 15235 16620 17820 18282 22437 24930 27423 29916 30470 36564 37395 44874 45705 49860 54846 60940 74790 82269 89748 91410 109692 112185 137115 149580 164538 182820 224370 246807 274230 329076 411345 448740 493614 548460 822690 987228 1234035 1645380 2468070 4936140