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36374140 = 225111011637
BaseRepresentation
bin1000101011000…
…0011001111100
32112102222221101
42022300121330
533302433030
63335342444
7621114025
oct212603174
975388841
1036374140
1119594480
1210221a24
1376c737a
144b8bc4c
1532d77ca
hex22b067c

36374140 has 48 divisors (see below), whose sum is σ = 84206304. Its totient is φ = 13088000.

The previous prime is 36374123. The next prime is 36374147. The reversal of 36374140 is 4147363.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36374099 and 36374108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36374147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21402 + ... + 23038.

It is an arithmetic number, because the mean of its divisors is an integer number (1754298).

Almost surely, 236374140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36374140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103152).

36374140 is an abundant number, since it is smaller than the sum of its proper divisors (47832164).

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

36374140 is a wasteful number, since it uses less digits than its factorization.

36374140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 36374140 is about 6031.0977441922. The cubic root of 36374140 is about 331.3326581429.

It can be divided in two parts, 3637 and 4140, that added together give a palindrome (7777).

The spelling of 36374140 in words is "thirty-six million, three hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1637 2020 2222 3274 4444 5555 6548 8185 11110 16370 18007 22220 32740 36014 72028 90035 165337 180070 330674 360140 661348 826685 1653370 1818707 3306740 3637414 7274828 9093535 18187070 36374140