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540045312 = 212371619
BaseRepresentation
bin100000001100000…
…111000000000000
31101122012010220020
4200030013000000
52101222422222
6125331013440
716245211062
oct4014070000
91348163806
10540045312
11257929044
12130a3a280
1387b66451
1451a1b732
153262865c
hex20307000

540045312 has 104 divisors (see below), whose sum is σ = 1462584960. Its totient is φ = 177192960.

The previous prime is 540045301. The next prime is 540045347. The reversal of 540045312 is 213540045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872139 + ... + 872757.

Almost surely, 2540045312 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 540045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731292480).

540045312 is an abundant number, since it is smaller than the sum of its proper divisors (922539648).

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

540045312 is an equidigital number, since it uses as much as digits as its factorization.

540045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540045312 is about 23238.8750158006. The cubic root of 540045312 is about 814.3480613212.

Adding to 540045312 its reverse (213540045), we get a palindrome (753585357).

The spelling of 540045312 in words is "five hundred forty million, forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 619 768 852 1024 1136 1238 1536 1704 1857 2048 2272 2476 3072 3408 3714 4096 4544 4952 6144 6816 7428 9088 9904 12288 13632 14856 18176 19808 27264 29712 36352 39616 43949 54528 59424 72704 79232 87898 109056 118848 131847 145408 158464 175796 218112 237696 263694 290816 316928 351592 436224 475392 527388 633856 703184 872448 950784 1054776 1267712 1406368 1901568 2109552 2535424 2812736 3803136 4219104 5625472 7606272 8438208 11250944 16876416 22501888 33752832 45003776 67505664 90007552 135011328 180015104 270022656 540045312