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36542070 = 2335413301
BaseRepresentation
bin1000101101100…
…1011001110110
32112202112022000
42023121121312
533323321240
63343120130
7622413435
oct213313166
975675260
1036542070
1119699664
12102a3046
137755936
144bd311c
15331c430
hex22d9676

36542070 has 64 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 9504000.

The previous prime is 36542047. The next prime is 36542071. The reversal of 36542070 is 7024563.

It is a happy number.

36542070 is a `hidden beast` number, since 3 + 654 + 2 + 0 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36542071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9420 + ... + 12720.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 236542070 is an apocalyptic number.

36542070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36542070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

36542070 is an abundant number, since it is smaller than the sum of its proper divisors (63310410).

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

36542070 is a wasteful number, since it uses less digits than its factorization.

36542070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 36542070 is about 6045.0037220832. The cubic root of 36542070 is about 331.8417678748.

The spelling of 36542070 in words is "thirty-six million, five hundred forty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3301 3690 5535 6602 9903 11070 16505 19806 29709 33010 49515 59418 89127 99030 135341 148545 178254 270682 297090 406023 445635 676705 812046 891270 1218069 1353410 2030115 2436138 3654207 4060230 6090345 7308414 12180690 18271035 36542070