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1506042980 = 2251319304867
BaseRepresentation
bin101100111000100…
…0110010001100100
310212221212220120122
41121301012101210
511041021333410
6405235421112
752215103601
oct13161062144
93787786518
101506042980
11703138422
12360454798
131b00299c0
141040376a8
158c33ee55
hex59c46464

1506042980 has 48 divisors (see below), whose sum is σ = 3585247680. Its totient is φ = 526808448.

The previous prime is 1506042973. The next prime is 1506042991. The reversal of 1506042980 is 892406051.

It is a self number, because there is not a number n which added to its sum of digits gives 1506042980.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 147494 + ... + 157373.

It is an arithmetic number, because the mean of its divisors is an integer number (74692660).

Almost surely, 21506042980 is an apocalyptic number.

1506042980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506042980 is an abundant number, since it is smaller than the sum of its proper divisors (2079204700).

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

1506042980 is a wasteful number, since it uses less digits than its factorization.

1506042980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304908 (or 304906 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1506042980 is about 38807.7695829070. The cubic root of 1506042980 is about 1146.2494018034.

The spelling of 1506042980 in words is "one billion, five hundred six million, forty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 304867 609734 1219468 1524335 3048670 3963271 5792473 6097340 7926542 11584946 15853084 19816355 23169892 28962365 39632710 57924730 75302149 79265420 115849460 150604298 301208596 376510745 753021490 1506042980