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103038976 = 21419331
BaseRepresentation
bin1100010010001…
…00000000000000
321011212220220101
412021010000000
5202334221401
614120252144
72360550115
oct611040000
9234786811
10103038976
1153187787
122a611054
1318468b11
14d98290c
1590a5101
hex6244000

103038976 has 60 divisors (see below), whose sum is σ = 217572880. Its totient is φ = 48660480.

The previous prime is 103038941. The next prime is 103038977. The reversal of 103038976 is 679830301.

It is not an unprimeable number, because it can be changed into a prime (103038977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311131 + ... + 311461.

Almost surely, 2103038976 is an apocalyptic number.

103038976 is a gapful number since it is divisible by the number (16) 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 103038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108786440).

103038976 is an abundant number, since it is smaller than the sum of its proper divisors (114533904).

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

103038976 is an frugal number, since it uses more digits than its factorization.

103038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 103038976 is about 10150.8115931683. The cubic root of 103038976 is about 468.8139341298.

It can be divided in two parts, 1030 and 38976, that multiplied together give a triangular number (40145280 = T8960).

The spelling of 103038976 in words is "one hundred three million, thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 331 512 608 662 1024 1216 1324 2048 2432 2648 4096 4864 5296 6289 8192 9728 10592 12578 16384 19456 21184 25156 38912 42368 50312 77824 84736 100624 155648 169472 201248 311296 338944 402496 677888 804992 1355776 1609984 2711552 3219968 5423104 6439936 12879872 25759744 51519488 103038976