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36330140 = 22571131761
BaseRepresentation
bin1000101010010…
…1101010011100
32112100202120202
42022211222130
533300031030
63334403032
7620541530
oct212455234
975322522
1036330140
1119564410
1210200478
1376b0332
144b79bc0
1532c9745
hex22a5a9c

36330140 has 96 divisors (see below), whose sum is σ = 98316288. Its totient is φ = 10944000.

The previous prime is 36330137. The next prime is 36330157. The reversal of 36330140 is 4103363.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47360 + ... + 48120.

It is an arithmetic number, because the mean of its divisors is an integer number (1024128).

Almost surely, 236330140 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 36330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49158144).

36330140 is an abundant number, since it is smaller than the sum of its proper divisors (61986148).

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

36330140 is a wasteful number, since it uses less digits than its factorization.

36330140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 36330140 is about 6027.4488799159. The cubic root of 36330140 is about 331.1990053219.

It can be divided in two parts, 363 and 30140, that added together give a palindrome (30503).

The spelling of 36330140 in words is "thirty-six million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 761 770 868 1085 1364 1522 1540 1705 2170 2387 3044 3410 3805 4340 4774 5327 6820 7610 8371 9548 10654 11935 15220 16742 21308 23591 23870 26635 33484 41855 47182 47740 53270 58597 83710 94364 106540 117194 117955 165137 167420 234388 235910 259501 292985 330274 471820 519002 585970 660548 825685 1038004 1171940 1297505 1651370 1816507 2595010 3302740 3633014 5190020 7266028 9082535 18165070 36330140