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1480264074 = 2323111632281
BaseRepresentation
bin101100000111011…
…0000100110001010
310211011101012120100
41120032300212022
511012421422244
6402515110230
751453015462
oct13016604612
93734335510
101480264074
1169a630343
123538a2376
131a78a2103
14100846ba2
1589e4bb69
hex583b098a

1480264074 has 48 divisors (see below), whose sum is σ = 3314997504. Its totient is φ = 476884800.

The previous prime is 1480264067. The next prime is 1480264099. The reversal of 1480264074 is 4704620841.

1480264074 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 2 + 640 + 7 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 647814 + ... + 650094.

It is an arithmetic number, because the mean of its divisors is an integer number (69062448).

Almost surely, 21480264074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480264074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657498752).

1480264074 is an abundant number, since it is smaller than the sum of its proper divisors (1834733430).

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

1480264074 is a wasteful number, since it uses less digits than its factorization.

1480264074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1480264074 is about 38474.2001086442. The cubic root of 1480264074 is about 1139.6716182521.

It can be divided in two parts, 148026 and 4074, that added together give a square (152100 = 3902).

The spelling of 1480264074 in words is "one billion, four hundred eighty million, two hundred sixty-four thousand, seventy-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1163 2281 2326 3489 4562 6843 6978 10467 13686 20529 20934 36053 41058 70711 72106 108159 141422 212133 216318 324477 424266 636399 648954 1272798 2652803 5305606 7958409 15916818 23875227 47750454 82236893 164473786 246710679 493421358 740132037 1480264074