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36705340 = 22571913799
BaseRepresentation
bin1000110000000…
…1010000111100
32120001211021001
42030001100330
533344032330
63350420044
7623663440
oct214012074
976054231
1036705340
11197a02a1
1210361624
1377b2049
144c36820
1533509ca
hex230143c

36705340 has 48 divisors (see below), whose sum is σ = 92736000. Its totient is φ = 11921472.

The previous prime is 36705337. The next prime is 36705343. The reversal of 36705340 is 4350763.

It is an interprime number because it is at equal distance from previous prime (36705337) and next prime (36705343).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 36705299 and 36705308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36705343) 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, 4240 + ... + 9559.

It is an arithmetic number, because the mean of its divisors is an integer number (1932000).

Almost surely, 236705340 is an apocalyptic number.

It is an amenable number.

36705340 is an abundant number, since it is smaller than the sum of its proper divisors (56030660).

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

36705340 is a wasteful number, since it uses less digits than its factorization.

36705340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13834 (or 13832 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 36705340 is about 6058.4932120124. The cubic root of 36705340 is about 332.3352567343.

The spelling of 36705340 in words is "thirty-six million, seven hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 13799 27598 55196 68995 96593 137990 193186 262181 275980 386372 482965 524362 965930 1048724 1310905 1835267 1931860 2621810 3670534 5243620 7341068 9176335 18352670 36705340