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103013440 = 2651916943
BaseRepresentation
bin1100010001111…
…01110001000000
321011211121212121
412020331301000
5202332412230
614115534024
72360412505
oct610756100
9234747777
10103013440
115316a582
122a5ba314
131845a2ca
14d9774ac
15909c77a
hex623dc40

103013440 has 56 divisors (see below), whose sum is σ = 258226560. Its totient is φ = 39034368.

The previous prime is 103013431. The next prime is 103013447. The reversal of 103013440 is 44310301.

It is a super-2 number, since 2×1030134402 = 21223537641267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103013447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2392 + ... + 14551.

Almost surely, 2103013440 is an apocalyptic number.

103013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013440 is an abundant number, since it is smaller than the sum of its proper divisors (155213120).

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

103013440 is a wasteful number, since it uses less digits than its factorization.

103013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16979 (or 16969 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103013440 is about 10149.5536847686. The cubic root of 103013440 is about 468.7752024376.

Adding to 103013440 its reverse (44310301), we get a palindrome (147323741).

The spelling of 103013440 in words is "one hundred three million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 16943 33886 67772 84715 135544 169430 271088 321917 338860 542176 643834 677720 1084352 1287668 1355440 1609585 2575336 2710880 3219170 5150672 5421760 6438340 10301344 12876680 20602688 25753360 51506720 103013440