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1337471072 = 25721635233
BaseRepresentation
bin100111110111000…
…0011000001100000
310110012200120101122
41033232003001200
510214343033242
6340414351412
745100213400
oct11756030140
93405616348
101337471072
11626a708a3
12313abb568
13184127702
14c98b6800
157c642ad2
hex4fb83060

1337471072 has 72 divisors (see below), whose sum is σ = 3082428216. Its totient is φ = 569576448.

The previous prime is 1337471053. The next prime is 1337471089. The reversal of 1337471072 is 2701747331.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 252968 + ... + 258200.

It is an arithmetic number, because the mean of its divisors is an integer number (42811503).

Almost surely, 21337471072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337471072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541214108).

1337471072 is an abundant number, since it is smaller than the sum of its proper divisors (1744957144).

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

1337471072 is a wasteful number, since it uses less digits than its factorization.

1337471072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 1337471072 is about 36571.4515982070. The cubic root of 1337471072 is about 1101.7797832475.

The spelling of 1337471072 in words is "one billion, three hundred thirty-seven million, four hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 163 196 224 326 392 652 784 1141 1304 1568 2282 2608 4564 5216 5233 7987 9128 10466 15974 18256 20932 31948 36512 36631 41864 63896 73262 83728 127792 146524 167456 255584 256417 293048 512834 586096 852979 1025668 1172192 1705958 2051336 3411916 4102672 5970853 6823832 8205344 11941706 13647664 23883412 27295328 41795971 47766824 83591942 95533648 167183884 191067296 334367768 668735536 1337471072