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540300156 = 2231147731193
BaseRepresentation
bin100000001101000…
…101001101111100
31101122200002110220
4200031011031330
52101304101111
6125340301340
716250322054
oct4015051574
91348602426
10540300156
11257a92560
12130b41850
1387c25446
1451a86564
1532678e06
hex2034537c

540300156 has 96 divisors (see below), whose sum is σ = 1425005568. Its totient is φ = 157916160.

The previous prime is 540300151. The next prime is 540300157. The reversal of 540300156 is 651003045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540300151) 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 31 ways as a sum of consecutive naturals, for example, 452296 + ... + 453488.

It is an arithmetic number, because the mean of its divisors is an integer number (14843808).

Almost surely, 2540300156 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 540300156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712502784).

540300156 is an abundant number, since it is smaller than the sum of its proper divisors (884705412).

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

540300156 is a wasteful number, since it uses less digits than its factorization.

540300156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 540300156 is about 23244.3575088665. The cubic root of 540300156 is about 814.4761364272.

The spelling of 540300156 in words is "five hundred forty million, three hundred thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 73 94 132 141 146 188 219 282 292 438 517 564 803 876 1034 1193 1551 1606 2068 2386 2409 3102 3212 3431 3579 4772 4818 6204 6862 7158 9636 10293 13123 13724 14316 20586 26246 37741 39369 41172 52492 56071 75482 78738 87089 112142 113223 150964 157476 168213 174178 224284 226446 261267 336426 348356 452892 522534 616781 672852 957979 1045068 1233562 1850343 1915958 2467124 2873937 3700686 3831916 4093183 5747874 7401372 8186366 11495748 12279549 16372732 24559098 45025013 49118196 90050026 135075039 180100052 270150078 540300156