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10153980 = 22325192969
BaseRepresentation
bin100110101110…
…111111111100
3201002212122100
4212232333330
510044411410
61001345100
7152210304
oct46567774
921085570
1010153980
115805921
123498190
132146995
1414c4604
15d588c0
hex9aeffc

10153980 has 72 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 2564352.

The previous prime is 10153967. The next prime is 10153987. The reversal of 10153980 is 8935101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153987) 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 23 ways as a sum of consecutive naturals, for example, 1936 + ... + 4904.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 210153980 is an apocalyptic number.

10153980 is a gapful number since it is divisible by the number (10) 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 10153980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

10153980 is an abundant number, since it is smaller than the sum of its proper divisors (22278420).

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

10153980 is a wasteful number, since it uses less digits than its factorization.

10153980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10153980 is about 3186.5310291915. The cubic root of 10153980 is about 216.5436408744.

The spelling of 10153980 in words is "ten million, one hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 2969 3420 5938 8907 11876 14845 17814 26721 29690 35628 44535 53442 56411 59380 89070 106884 112822 133605 169233 178140 225644 267210 282055 338466 507699 534420 564110 676932 846165 1015398 1128220 1692330 2030796 2538495 3384660 5076990 10153980