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36097740 = 22325728649
BaseRepresentation
bin1000100110110…
…0111011001100
32111220221210100
42021230323030
533220111430
63325411100
7615553140
oct211547314
974827710
1036097740
1119415848
1210109a90
13762b613
144b19220
153280960
hex226cecc

36097740 has 72 divisors (see below), whose sum is σ = 125143200. Its totient is φ = 8250624.

The previous prime is 36097729. The next prime is 36097751. The reversal of 36097740 is 4779063.

36097740 is a `hidden beast` number, since 3 + 609 + 7 + 7 + 40 = 666.

36097740 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 (36097729) and next prime (36097751).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36097695 and 36097704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13065 + ... + 15584.

It is an arithmetic number, because the mean of its divisors is an integer number (1738100).

Almost surely, 236097740 is an apocalyptic number.

36097740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36097740 is an abundant number, since it is smaller than the sum of its proper divisors (89045460).

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

36097740 is a wasteful number, since it uses less digits than its factorization.

36097740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28671 (or 28666 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 36097740 is about 6008.1394790734. The cubic root of 36097740 is about 330.4912792766.

The spelling of 36097740 in words is "thirty-six million, ninety-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 28649 57298 85947 114596 143245 171894 200543 257841 286490 343788 401086 429735 515682 572980 601629 802172 859470 1002715 1031364 1203258 1289205 1718940 1804887 2005430 2406516 2578410 3008145 3609774 4010860 5156820 6016290 7219548 9024435 12032580 18048870 36097740