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36831340 = 225741359
BaseRepresentation
bin1000110010000…
…0000001101100
32120022020002201
42030200001230
533412100330
63353231244
7625030000
oct214400154
976266081
1036831340
1119876a27
1210402524
1378274c0
144c6a700
153377eca
hex232006c

36831340 has 120 divisors (see below), whose sum is σ = 98819280. Its totient is φ = 11458944.

The previous prime is 36831337. The next prime is 36831341. The reversal of 36831340 is 4313863.

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 = 36831299 and 36831308.

It is not an unprimeable number, because it can be changed into a prime (36831341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 624231 + ... + 624289.

It is an arithmetic number, because the mean of its divisors is an integer number (823494).

Almost surely, 236831340 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 36831340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49409640).

36831340 is an abundant number, since it is smaller than the sum of its proper divisors (61987940).

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

36831340 is a wasteful number, since it uses less digits than its factorization.

36831340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 36831340 is about 6068.8829285133. The cubic root of 36831340 is about 332.7150962800.

The spelling of 36831340 in words is "thirty-six million, eight hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 59 65 70 91 98 118 130 140 182 196 236 245 260 295 343 364 413 455 490 590 637 686 767 826 910 980 1180 1274 1372 1534 1652 1715 1820 2065 2401 2548 2891 3068 3185 3430 3835 4130 4459 4802 5369 5782 6370 6860 7670 8260 8918 9604 10738 11564 12005 12740 14455 15340 17836 20237 21476 22295 24010 26845 28910 31213 37583 40474 44590 48020 53690 57820 62426 75166 80948 89180 101185 107380 124852 141659 150332 156065 187915 202370 263081 283318 312130 375830 404740 526162 566636 624260 708295 751660 1052324 1315405 1416590 1841567 2630810 2833180 3683134 5261620 7366268 9207835 18415670 36831340