Search a number
-
+
1013694048 = 25333137847
BaseRepresentation
bin111100011010111…
…011111001100000
32121122102222211000
4330122323321200
54034001202143
6244330552000
734056154143
oct7432737140
92548388730
101013694048
11480227384
12243598600
13132023283
14988b405a
155ded8bd3
hex3c6bbe60

1013694048 has 96 divisors (see below), whose sum is σ = 3052062720. Its totient is φ = 326989440.

The previous prime is 1013694047. The next prime is 1013694053. The reversal of 1013694048 is 8404963101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013694047) 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, 7861 + ... + 45707.

It is an arithmetic number, because the mean of its divisors is an integer number (31792320).

Almost surely, 21013694048 is an apocalyptic number.

1013694048 is a gapful number since it is divisible by the number (18) 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 1013694048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526031360).

1013694048 is an abundant number, since it is smaller than the sum of its proper divisors (2038368672).

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

1013694048 is a wasteful number, since it uses less digits than its factorization.

1013694048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37897 (or 37883 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1013694048 is about 31838.5622790980. The cubic root of 1013694048 is about 1004.5440034247.

The spelling of 1013694048 in words is "one billion, thirteen million, six hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 37847 75694 113541 151388 227082 302776 340623 454164 605552 681246 908328 1021869 1173257 1211104 1362492 1816656 2043738 2346514 2724984 3519771 3633312 4087476 4693028 5449968 7039542 8174952 9386056 10559313 10899936 14079084 16349904 18772112 21118626 28158168 31677939 32699808 37544224 42237252 56316336 63355878 84474504 112632672 126711756 168949008 253423512 337898016 506847024 1013694048