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10073180 = 22513174353
BaseRepresentation
bin100110011011…
…010001011100
3200221202210202
4212123101130
510034320210
6555523032
7151422605
oct46332134
920852722
1010073180
115760147
123459478
132118c80
1414a2dac
15d3e9a5
hex99b45c

10073180 has 96 divisors (see below), whose sum is σ = 25147584. Its totient is φ = 3354624.

The previous prime is 10073177. The next prime is 10073183. The reversal of 10073180 is 8137001.

10073180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10073177) and next prime (10073183).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073183) 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, 190034 + ... + 190086.

It is an arithmetic number, because the mean of its divisors is an integer number (261954).

Almost surely, 210073180 is an apocalyptic number.

10073180 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 10073180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573792).

10073180 is an abundant number, since it is smaller than the sum of its proper divisors (15074404).

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

10073180 is a wasteful number, since it uses less digits than its factorization.

10073180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 10073180 is about 3173.8273424999. The cubic root of 10073180 is about 215.9677306618.

The spelling of 10073180 in words is "ten million, seventy-three thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 43 52 53 65 68 85 86 106 130 170 172 212 215 221 260 265 340 430 442 530 559 689 731 860 884 901 1060 1105 1118 1378 1462 1802 2210 2236 2279 2756 2795 2924 3445 3604 3655 4420 4505 4558 5590 6890 7310 9010 9116 9503 11180 11395 11713 13780 14620 18020 19006 22790 23426 29627 38012 38743 45580 46852 47515 58565 59254 77486 95030 117130 118508 148135 154972 190060 193715 234260 296270 387430 503659 592540 774860 1007318 2014636 2518295 5036590 10073180