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10066980 = 22357112179
BaseRepresentation
bin100110011001…
…110000100100
3200221110022010
4212121300210
510034120410
6555434220
7151365540
oct46316044
920843263
1010066980
115756520
123455970
1321161c1
1414a0a20
15d3cc20
hex999c24

10066980 has 96 divisors (see below), whose sum is σ = 35159040. Its totient is φ = 2090880.

The previous prime is 10066967. The next prime is 10066981. The reversal of 10066980 is 8966001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3531 + ... + 5709.

It is an arithmetic number, because the mean of its divisors is an integer number (366240).

Almost surely, 210066980 is an apocalyptic number.

10066980 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 10066980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17579520).

10066980 is an abundant number, since it is smaller than the sum of its proper divisors (25092060).

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

10066980 is a wasteful number, since it uses less digits than its factorization.

10066980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10066980 is about 3172.8504534566. The cubic root of 10066980 is about 215.9234124908.

The spelling of 10066980 in words is "ten million, sixty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2179 2310 4358 4620 6537 8716 10895 13074 15253 21790 23969 26148 30506 32685 43580 45759 47938 61012 65370 71907 76265 91518 95876 119845 130740 143814 152530 167783 183036 228795 239690 287628 305060 335566 359535 457590 479380 503349 671132 719070 838915 915180 1006698 1438140 1677830 2013396 2516745 3355660 5033490 10066980