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36373140 = 22325397509
BaseRepresentation
bin1000101011000…
…0001010010100
32112102221120100
42022300022110
533302420030
63335334100
7621111066
oct212601224
975387510
1036373140
1119593751
1210221330
1376c6a8b
144b8b736
1532d7360
hex22b0294

36373140 has 72 divisors (see below), whose sum is σ = 110827080. Its totient is φ = 9656064.

The previous prime is 36373133. The next prime is 36373153. The reversal of 36373140 is 4137363.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10850436 + 25522704 = 3294^2 + 5052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71206 + ... + 71714.

It is an arithmetic number, because the mean of its divisors is an integer number (1539265).

Almost surely, 236373140 is an apocalyptic number.

36373140 is a gapful number since it is divisible by the number (30) 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 36373140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55413540).

36373140 is an abundant number, since it is smaller than the sum of its proper divisors (74453940).

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

36373140 is a wasteful number, since it uses less digits than its factorization.

36373140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 36373140 is about 6031.0148399751. The cubic root of 36373140 is about 331.3296217761.

The spelling of 36373140 in words is "thirty-six million, three hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 509 794 1018 1191 1527 1588 1985 2036 2382 2545 3054 3573 3970 4581 4764 5090 5955 6108 7146 7635 7940 9162 10180 11910 14292 15270 17865 18324 22905 23820 30540 35730 45810 71460 91620 202073 404146 606219 808292 1010365 1212438 1818657 2020730 2424876 3031095 3637314 4041460 6062190 7274628 9093285 12124380 18186570 36373140