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1530073974 = 23111313113613
BaseRepresentation
bin101101100110011…
…0001001101110110
310221122002210220110
41123030301031312
511113144331344
6411454443450
752626262032
oct13314611566
93848083813
101530073974
11715761250
12368503586
131b4cc1b20
141072d11c2
158e4da3b9
hex5b331376

1530073974 has 64 divisors (see below), whose sum is σ = 3622848768. Its totient is φ = 424694400.

The previous prime is 1530073969. The next prime is 1530074003. The reversal of 1530073974 is 4793700351.

It is a happy number.

It is a super-2 number, since 2×15300739742 = 4682252731824305352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 105592 + ... + 119204.

It is an arithmetic number, because the mean of its divisors is an integer number (56607012).

Almost surely, 21530073974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530073974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811424384).

1530073974 is an abundant number, since it is smaller than the sum of its proper divisors (2092774794).

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

1530073974 is a wasteful number, since it uses less digits than its factorization.

1530073974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13773.

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 1530073974 is about 39116.1600109213. The cubic root of 1530073974 is about 1152.3139229953.

The spelling of 1530073974 in words is "one billion, five hundred thirty million, seventy-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 131 143 262 286 393 429 786 858 1441 1703 2882 3406 4323 5109 8646 10218 13613 18733 27226 37466 40839 56199 81678 112398 149743 176969 299486 353938 449229 530907 898458 1061814 1783303 1946659 3566606 3893318 5349909 5839977 10699818 11679954 19616333 23182939 39232666 46365878 58848999 69548817 117697998 139097634 255012329 510024658 765036987 1530073974