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36166020 = 223511371481
BaseRepresentation
bin1000100111110…
…1100110000100
32112001102110020
42021331212010
533224303040
63331055140
7616256202
oct211754604
975042406
1036166020
1119462080
12101414b0
137653717
144b36072
153295cd0
hex227d984

36166020 has 96 divisors (see below), whose sum is σ = 113533056. Its totient is φ = 8524800.

The previous prime is 36166003. The next prime is 36166037. The reversal of 36166020 is 2066163.

It is an interprime number because it is at equal distance from previous prime (36166003) and next prime (36166037).

It is a super-3 number, since 3×361660203 (a number of 24 digits) contains 333 as substring.

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, 23680 + ... + 25160.

It is an arithmetic number, because the mean of its divisors is an integer number (1182636).

Almost surely, 236166020 is an apocalyptic number.

36166020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36166020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56766528).

36166020 is an abundant number, since it is smaller than the sum of its proper divisors (77367036).

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

36166020 is a wasteful number, since it uses less digits than its factorization.

36166020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 36166020 is about 6013.8190860717. The cubic root of 36166020 is about 330.6995262141.

The spelling of 36166020 in words is "thirty-six million, one hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1481 1628 2035 2220 2442 2962 4070 4443 4884 5924 6105 7405 8140 8886 12210 14810 16291 17772 22215 24420 29620 32582 44430 48873 54797 65164 81455 88860 97746 109594 162910 164391 195492 219188 244365 273985 325820 328782 488730 547970 602767 657564 821955 977460 1095940 1205534 1643910 1808301 2411068 3013835 3287820 3616602 6027670 7233204 9041505 12055340 18083010 36166020