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1530815104 = 27713196917
BaseRepresentation
bin101101100111110…
…0110001010000000
310221200111110112201
41123033212022000
511113342040404
6411522402544
752635466540
oct13317461200
93850443481
101530815104
11716118055
12368800454
131b51c1270
14107445320
158e5d4ca4
hex5b3e6280

1530815104 has 128 divisors (see below), whose sum is σ = 3951561600. Its totient is φ = 573640704.

The previous prime is 1530815063. The next prime is 1530815113. The reversal of 1530815104 is 4015180351.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217854 + ... + 224770.

It is an arithmetic number, because the mean of its divisors is an integer number (30871575).

Almost surely, 21530815104 is an apocalyptic number.

1530815104 is a gapful number since it is divisible by the number (14) 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 1530815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975780800).

1530815104 is an abundant number, since it is smaller than the sum of its proper divisors (2420746496).

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

1530815104 is a wasteful number, since it uses less digits than its factorization.

1530815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 1530815104 is about 39125.6323143793. The cubic root of 1530815104 is about 1152.4999437546.

Adding to 1530815104 its reverse (4015180351), we get a palindrome (5545995455).

The spelling of 1530815104 in words is "one billion, five hundred thirty million, eight hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 896 988 1064 1216 1456 1664 1729 1976 2128 2432 2912 3458 3952 4256 5824 6916 6917 7904 8512 11648 13832 13834 15808 17024 27664 27668 31616 48419 55328 55336 89921 96838 110656 110672 131423 179842 193676 221312 221344 262846 359684 387352 442688 525692 629447 719368 774704 885376 919961 1051384 1258894 1438736 1549408 1708499 1839922 2102768 2517788 2877472 3098816 3416998 3679844 4205536 5035576 5754944 6197632 6833996 7359688 8411072 10071152 11509888 11959493 13667992 14719376 16822144 20142304 23918986 27335984 29438752 40284608 47837972 54671968 58877504 80569216 95675944 109343936 117755008 191351888 218687872 382703776 765407552 1530815104