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100530480 = 24353711321
BaseRepresentation
bin1011111110111…
…11100100110000
321000011110220010
411333133210300
5201213433410
613550414520
72330331531
oct577374460
9230143803
10100530480
1151824046
1229801440
1317a9b0bb
14d4cc688
158c5bc20
hex5fdf930

100530480 has 80 divisors (see below), whose sum is σ = 320095584. Its totient is φ = 26081280.

The previous prime is 100530467. The next prime is 100530481. The reversal of 100530480 is 84035001.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (100530481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3220 + ... + 14540.

Almost surely, 2100530480 is an apocalyptic number.

100530480 is a gapful number since it is divisible by the number (10) 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 100530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160047792).

100530480 is an abundant number, since it is smaller than the sum of its proper divisors (219565104).

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

100530480 is a wasteful number, since it uses less digits than its factorization.

100530480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100530480 is about 10026.4889168642. The cubic root of 100530480 is about 464.9781929882.

Adding to 100530480 its reverse (84035001), we get a palindrome (184565481).

The spelling of 100530480 in words is "one hundred million, five hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 11321 22642 33963 45284 56605 67926 90568 113210 135852 169815 181136 226420 271704 339630 418877 452840 543408 679260 837754 905680 1256631 1358520 1675508 2094385 2513262 2717040 3351016 4188770 5026524 6283155 6702032 8377540 10053048 12566310 16755080 20106096 25132620 33510160 50265240 100530480